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
• Frequently Asked Questions on Area of Circle Questions and Answers

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:

   $A = \pi r^2$

   $A = \frac{22}{7} \times 7 \times 7$

   $A = 154 \text{ cm}^2$

   Answer:$154 \text{ cm}^2$

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

   Solution:

   $A = \pi r^2$

   $A = \frac{22}{7} \times 14 \times 14$

   $A = 616 \text{ cm}^2$

   Answer:$616 \text{ cm}^2$

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

   Solution:

   $r = \frac{10}{2} = 5 \text{ cm}$

   $A = \pi r^2$

   $A = 3.14 \times 5 \times 5$

   $A = 78.5 \text{ cm}^2$

   Answer:$78.5 \text{ cm}^2$

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

   Solution:

   $A = \frac{22}{7} \times 21 \times 21$

   $A = 1386 \text{ cm}^2$

   Answer:$1386 \text{ cm}^2$

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

   Solution:

   $A = \frac{22}{7} \times 3.5 \times 3.5$

   $A = 38.5 \text{ cm}^2$

   Answer:$38.5 \text{ cm}^2$

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

   Solution:

   $A = 3.14 \times 15 \times 15$

   $A = 706.5 \text{ m}^2$

   Answer:$706.5 \text{ m}^2$

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

   Solution:

   $154 = \frac{22}{7}r^2$

   $r^2 = 49$

   $r = 7 \text{ cm}$

   Answer:$7 \text{ cm}$

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

   Solution:

   $r = \frac{14}{2} = 7 \text{ cm}$

   $A = \frac{22}{7} \times 7 \times 7$

   $A = 154 \text{ cm}^2$

   Answer:$154 \text{ cm}^2$

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

   Solution:

   $A = 3.14 \times 9 \times 9$

   $A = 254.34 \text{ cm}^2$

   Answer:$254.34 \text{ cm}^2$

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

    Solution:

    $A = \pi r^2$

    New radius:

    $2r$

    New area:

    $A = \pi (2r)^2$

    $A = 4\pi r^2$

    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.