Area of Circle Questions with Answers: Your Step by Step Guide

Area of Circle Questions with Answers are available in this Maths article. Area of Circle Questions with Answers are very useful to solve the problems easily. This article helps the students to know the key questions and answers about Area of Circle. Area of a circle is the space enclosed by its boundary which we measure using the formula πr² in our day to day life.

Table of Contents

• What is Area of Circle?
• Formulas of Areas Related to Circles
• Area of Circle Questions and Solutions
• Practice Questions on Area of Circle

What is Area of circle?

The area of a circle is the amount of space enclosed inside the circle.

A=πr2

Where:

• A = Area of the circle
• r = Radius of the circle
• π = 3.14 approximately

Also Check: Area of Circle

Formulas of Areas Related to Circles:

• Area of circle = πr²
• Circumference of circle = 2πr
• Length of an arc of a sector = L= (θ/360°)×2πr
• Area of a sector of circle = (θ/360°)×πr²

Area of Circle Questions and Solutions

1. Find the area of a circle with radius 7 cm.

   Solution:

   A=πr2

   A=227×7×7

   A=154 cm2

   Answer:154 cm2

2. Find the area of a circle with radius 14 cm.

   Solution:

   A=πr2

   A=227×14×14

   A=616 cm2

   Answer:616 cm2

3. Find the area of a circle whose diameter is 10 cm.

   Solution:

   r=102=5 cm

   A=πr2

   A=3.14×5×5

   A=78.5 cm2

   Answer:78.5 cm2

4. Find the area of a circle with radius 21 cm.

   Solution:

   A=227×21×21

   A=1386 cm2

   Answer:1386 cm2

5. Find the area of a circle with radius 3.5 cm.

   Solution:

   A=227×3.5×3.5

   A=38.5 cm2

   Answer:38.5 cm2

6. A circular garden has radius 15 m. Find its area.

   Solution:

   A=3.14×15×15

   A=706.5 m2

   Answer:706.5 m2

7. Find the radius if the area of a circle is 154 cm².

   Solution:

   154=227r2

   r2=49

   r=7 cm

   Answer:7 cm

8. Find the area of a circle with diameter 14 cm.

   Solution:

   r=142=7 cm

   A=227×7×7

   A=154 cm2

   Answer:154 cm2

9. Find the area of a circle with radius 9 cm using pi=3.14 .

   Solution:

   A=3.14×9×9

   A=254.34 cm2

   Answer:254.34 cm2

10. The radius of a circle is doubled. How does the area change?

    Solution:

    A=πr2

    New radius:

    2r

    New area:

    A=π(2r)2

    A=4πr2

    Answer:  The area becomes four times the original area.

Practice Questions on Area of Circle

1. Find the area of a circle with radius 8 cm.
2. Find the area of a circle whose diameter is 20 cm.
3. Calculate the area of a circle with radius 12 cm.
4. Find the area of a circle with radius 4.5 cm.
5. A circular park has radius 18 m. Find its area.
6. Find the radius of a circle whose area is 616 cm2^22.
7. What is the area of a circle with diameter 14 cm?
8. If the radius of a circle becomes three times, how does the area change?
9. Find the area of a circle using π=3.14\pi = 3.14π=3.14 and radius 9 cm.
10. State the formula used to find the area of a circle.