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

User Durbnpoisn
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2 Answers

3 votes
18.85 meters - this is the circumference divided by 2
User Maude
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2 votes

Answer: Diameter = 12 meters

Area =
113.04\text{ m}^2

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=(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

User Rudder
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