1

Problem

A circular garden has an area of 400 square meters. Find the radius and circumference of the garden.

2

Step

The given data

The area of circular garden is \$400 m^2\$

3

Formula

Area of a circle formula is \$ A = πr^2\$.

4

Formula

Circumference of a circle formula is C = 2πr.

5

Step

Substitute the value in area formula:

\$400 = πr^2\$

6

Step

Solve for (r) radius:

\$(400)/π = r^2\$

\$r^2 = 127.30\$

7

Step

Apply square root to both sides to obtain the value of r:

\$\cancel(\sqrt(r^2)) = \sqrt(127.30)\$

r = 11.28 m

8

Step

Substitute the value in the circumference formula and simplify the equation:

\$C = 2π(11.28)\$

C = 70.84 m

9

Solution

Therefore, the radius of the garden is 11.28 m, and the circumference is 70.84 m.

10

Sumup

Please summarize steps

Choices

11

Choice-A

This option provides accurate and precise values for the radius and circumference based on the area of the circular garden, making it correct

Correct 11.28 m and 70.84 m

12

Choice-B

The radius provided is slightly smaller than the correct value, making this option incorrect

Wrong 11.23 m and 70.83 m

13

Choice-C

The radius provided is greater than the correct value, making this option incorrect

Wrong 11.82 m and 70.91 m

14

Choice-D

The radius provided is slightly larger than the correct value, which makes this option incorrect

Wrong 11.32 m and 70.82 m

15

Answer

Option

A

16

Sumup

Please summarize choices