Mathematics 5

Quarter 4
Module 1
Finds the area of a given
circle.
Mathematics – Grade 5
Quarter 4 – Self-Learning Module 1: Finds the area of a given circle.
First Edition, 2020

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Published by the Department of Education - Schools Division of Pasig City

Development Team of the Self-Learning Module

Writers: Eliza A. Junio
Editor: Annalyn M. Insigne
Reviewer: Corazon C. Juta
Illustrator:
Layout Artist:
Management Team: Ma. Evalou Concepcion A. Agustin
OIC-Schools Division Superintendent
Carolina T. Rivera, CESE
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Manuel A. Laguerta, EdD
Chief, Curriculum Implementation Division
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Norlyn D. Conde EdD (MAPEH/SPA/SPS/HOPE/A&D/Sports)
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Dulce O. Santos PhD (Kindergarten/MTB-MLE)
Teresita P. Tagulao EdD (Mathematics/ABM)

Printed in the Philippines by Department of Education – Schools Division of

Pasig City
Mathematics 5
Quarter 4
Self-Learning Module1
Finds the area of a given circle.
Introductory Message

For the Facilitator:

Welcome to the Mathematics 5 Self-Learning Module on Finding the area of a given

circle!

This Self-Learning Module was collaboratively designed, developed and

reviewed by educators from the Schools Division Office of Pasig City headed by its
Officer-in-Charge Schools Division Superintendent, Ma. Evalou Concepcion A.
Agustin, in partnership with the City Government of Pasig through its mayor,
Honorable Victor Ma. Regis N. Sotto. The writers utilized the standards set by the K
to 12 Curriculum using the Most Essential Learning Competencies (MELC) in
developing this instructional resource.

This learning material hopes to engage the learners in guided and

independent learning activities at their own pace and time. Further, this also aims
to help learners acquire the needed 21st century skills especially the 5 Cs, namely:
Communication, Collaboration, Creativity, Critical Thinking, and Character while
taking into consideration their needs and circumstances.

In addition to the material in the main text, you will also see this box in the
body of the module:

Notes to the Teacher

This contains helpful tips or strategies
that will help you in guiding the learners.

As a facilitator you are expected to orient the learners on how to use this
module. You also need to keep track of the learners' progress while allowing them
to manage their own learning. Moreover, you are expected to encourage and assist
the learners as they do the tasks included in the module.
 For the Learner:

Welcome to the Mathematics 5 Self-Learning Module on Finding the area of a given

circle!
This module was designed to provide you with fun and meaningful
opportunities for guided and independent learning at your own pace and time. You
will be enabled to process the contents of the learning material while being an
active learner.

This module has the following parts and corresponding icons:

Expectations - This points to the set of knowledge and skills

that you will learn after completing the module.

Pretest - This measures your prior knowledge about the lesson

at hand.

Recap - This part of the module provides a review of concepts

and skills that you already know about a previous lesson.

Lesson - This section discusses the topic in the module.

Activities - This is a set of activities that you need to perform.

Wrap-Up - This section summarizes the concepts and

application of the lesson.

Valuing - This part integrates a desirable moral value in the

lesson.

Posttest - This measures how much you have learned from the
entire module.
 EXPECTATIONS

After going through this module, you are expected to find the area of a
given circle.

PRETEST

Read each item carefully. Circle the letter of the correct answer.
1. What is the area of the given circle?
d= 4 cm
A. 6.28 cm2 B. 12.56 cm2
C. 25.12 cm2 D. 50.24 cm2

2. A circle has a radius of 10 dm. Find its area.

A. 15.70 dm2 B. 31.40 dm2 C. 62.80 dm2 D. 314 dm2

3. What is the area of a circle with a diameter of 12 cm?

A. 113.04 cm2 B. 37.68 cm2 C. 18.84 cm2 D. 9.42 cm2

4. Find the area of a round plate with a radius of 3 dm.

A.282.6 dm2 B. 28.26 dm2 C. 2.286 dm2 D. 0.2286 dm2

5. John Luis drew a circle that has a diameter of 14 cm. What is the area of
his circle?

A. 1538.6 cm2 B. 153.86 cm2 C. 15.386 cm2 D. 1.5386 cm2

 RECAP

Match the words in column A with the meanings in column B. Write the
letter on the blank before the number.
A B
A. is a line segment from the center to a point
____1. Circle
on the circle
B. is a closed curve formed by a set of points
____2. Diameter on a plane that are the same distance from
its center
____3. Radius
C. is an instrument used to draw circles
____4. Pi (𝜋) D. is the ratio of the circumference of a circle
to its diameter
____5. Compass
E. a line segment which passes through the
center of the circle whose endpoints are on
the circle

LESSON

Explore and Discover

Grace wants to buy a round photo frame for her sister. The radius of the
photo frame is 8 cm. What is the area of the photo frame?

What is asked in the problem? the area of the round photo frame
Do you know how to find the area of a circle? Let’s find out!

The area of a circle is the number of square units inside that circle.

If each square in the circle to the left has an area of

1 cm2, you could count the total number of
squares to get the area of this circle. Thus, if there
were a total of 28.26 squares, the area of this circle
would be 28.26 cm2.
However, it is easier to use one of the following formulas:

𝐴 = 𝜋𝑟 2 or 𝐴 = 𝜋 • r • r

22
Where: A = Area r = radius and 𝜋 = 3.14 or 7

Let’s find the area of the photo frame Grace wants to buy using the
formula.

𝐴 = 𝜋𝑟 2
= 3.14 • (8 cm)2

= 3.14 • 8 cm • 8 cm

= 3.14 • 64 cm2

= 200.96 cm2

Therefore, the area of the round photo frame Grace wants to buy is
200.96 cm2.

Another example:

d= 4 cm
What is the area of this circle?

Since the formula is only given in terms of radius, remember to

change from diameter to radius when necessary. The radius is equal to half
the diameter.

What is the radius of the given circle? 4cm ÷ 2 = 2 cm

𝐴 = 𝜋𝑟 2
Therefore, the area of the circle with
= 3.14 • (2 cm)2
a diameter of 4 cm is 12.56 𝑐𝑚2 .
= 3.14 • 2 cm • 2 cm

= 3.14 • 4 cm2

A = 12.56 𝑐𝑚2
 ACTIVITIES

ACTIVITY 1: PRACTICE
Find the area of the following figures.

1. 2.
r= 2 cm r= 6 in
mcm

Area = _____ Area = _____

3. 4. d= 5 cm

r= 3 dm

Area = _____ Area = _____

d= 2 m
5.

Area = ________

ACTIVITY 2: KEEP PRACTICING

Box the correct area of each circle given the radius or diameter.

1. r = 4 cm Area = 12.56 cm2 Area = 50.24 cm2

2. r = 7 cm Area = 153.86 cm2 Area = 10.99 cm2

3. d = 12 m Area = 113.04 m2 Area = 37.68 m2

4. d = 10 dm Area = 314 dm2 Area = 78.5 dm2

5. r = 11 in Area = 34.54 in2 Area = 379.94 in2

ACTIVITY 3: TEST YOURSELF

Complete the table.

Diameter Radius Area

1. clock 20 cm
2. disc 9 cm
3. fishpond 5m
4. round table 2m
5. plate 24 cm

WRAP-UP

Remember:
To get the area of a circle, use the formula _________________, where the
value of 𝜋 is _____ and r is the length of the __________.

VALUING

“May no gift too small to give, nor too simple to receive, which is
wrapped in thoughtfulness, and tied with love.” L.O. Balrd

Being thoughtful to our loved ones makes them feel valued and loved.
Do you value your parents, brothers or sisters? How do you show your
thoughtfulness to them?
 POSTTEST

Directions: Read each item carefully. Write the letter of the correct answer.

1. What is the area of the given circle?

r= 1.5 m
A. 7.065 m2 B. 70.65 m2
C. 706.5 m2 D. 7 065 m2

2. A circle has a radius of 10 cm. What is its area?

A. 15.7 cm2 B. 31.4 cm2 C. 62.8 cm2 D. 314 cm2
3. Find the area of a circle with a diameter of 8 cm.
A. 50.24 cm2 B. 50.2 cm2 C. 5.024cm2 D. 5.02 cm2
4. If a circle has a diameter of 30 dm, what is its area?
A. 706.5 dm2 B. 70.65 dm2 C. 7.065 dm2 D. 0.7065 dm2
5. The radius of a circle measures 7 m. Find its area.
A. 15.386 m2 B. 153.86 m2 C. 1538.6 m2 D. 15 386 m2

KEY TO CORRECTION

5. B 5. C 5. A= 3.14 m2 5. A= 379.94 in2

4. B 4. D 4. A = 19.625 cm2 4. A= 78.5 dm2
3. A 3. A 3. A= 28.26 dm2 3. A= 113.04 m2
2. D 2. E 2. A= 113.04 in2 2. A= 153.86 cm2
1. B 1. B 1. A= 12.56 cm2 1. A= 50.24 cm2
Pretest Recap Activity 1 Activity 2
 5. B
5. r= 12 cm; A= 452.16 cm2
4. A
4. d= 4m; A= 12.56 m2
3. r= 2.5 m; A= 19.625 m2 3. A

2. d= 18 cm; A= 254.34 cm2 2. D

1. r= 10 cm; A= 314 cm2 1. A.

Activity 3 Posttest

Wrap-up
To get the area of a circle, use the formula A = 𝜋r2, where the value
of 𝜋 is 3.14 and r is the length of the radius.

References

Amelia D. Celeridad-Wright et.al. 2017.Math For Life Worktext in

Mathematics.Grade 5.84-86 P. Florentino St. Sta. Mesa Heights Quezon City.
REX Book Store, Inc.
https://www.slideshare.net/lhoralight/k-to-12-grade-5-learners-material-
in-mathematics-q1q4?qid=31a5cfeb-0621-42c0-9f19-
98a30a692b19&v=&b=&from_search=2

https://www.onlinemathlearning.com/area-of-circle.html

SIM Module Type in Mathematics 5 of Division of Pasig City