Question

The circumference of a circle is 7π m. What is the area, in square meters? Express your answer in terms of π

Answer 1

Answer:

$12.25\pi\,\,m^2$

Step-by-step explanation:

Given: Circumference of a circle = $7\pi\,\,m$

To find: Area of a circle in terms of $\pi$

Solution:

Let r denotes radius of a circle.

Circumference of a circle = $2\pi r$

$7\pi=2\pi r\\7=2r$

Divide both side by $\pi$

$3.5\,m=r$

Area of a circle = $\pi r^2$

Put $r=3.5\,\,m$

$=\pi (3.5)^2\\=12.25\pi\,\,m^2$

Answer 2

Answer:

A ≈ 3.9

Step-by-step explanation:

 How to solve

• Using the formulas

A=πr2

C=2πr

• Solving for A

A=C2

4π=72

4·π ≈ 3.8993

Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9