Question

The perimeter of a quarter circle is 14.28 miles. What is the quarter circle's radius?

Answer 1

Answer:

Circumference= 2πr

Circumference= perimeter  

14.28km= 2(3.14)r

14.28= 6.2831853072r

divide both sides by 6.2831853072

2.27= r

ANSWER: The radius is 2.27km

Hope this helps! :)

Step-by-step explanation:

Answer 2

The perimeter of a quarter circle is 14.28 miles. Hence, The radius is 9.08 mile.

What is the area of a circle?

Supposing that a considered circle has its radius of 'r' units.

Then, the circumference is given as:

Circumference = 2πr  units

The radius of a circle is half of its diameter.

The perimeter of a quarter circle is 14.28 miles.

Circumference = 2πr

Circumference= perimeter  

14.28 = 1/4 x 2 x (3.14) x r

4 x 14.28 = 2 x (3.14) x r

4 x 14.28 = 6.28 x r

Now, divide both sides by 6.28

4 x 2.27= r

r = 9.08

Hence, The radius is 9.08 mile.

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