Question

The distance around a circle is 37.7 meters long. What is the diameter and area of the circle?

Answer 1

18.85 meters - this is the circumference divided by 2

Answer 2

Answer: Diameter = 12 meters

Area = $113.04\text{ m}^2$

Step-by-step explanation:

Given : The distance around a circle is 37.7 meters long.

Also, the distance around the circle is named as circumference of circle .

Circumference of circle is given by :-

$C=2\pi r\\\\\Rightarrow\ 37.7=2(3.14)r\\\\\Rightarrow\ r=\dfrac{37.7}{2(3.14)}=6.00318471338\approx6$

Thus , the radius of the circle is 6 meters.

Then, diameter = $2r=2(6)=12\text{ meters}$

Area of circle is given by :-

$A=\pi r^2\\\\\Rightarrow\ A=(3.14)(6)^2=113.04\text{ m}^2$

Hence,  Diameter = 12 meters

Area = $113.04\text{ m}^2$