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The arc length of a sector created by a 90° angle is 25 cm. What is the circumference of the entire circle? Express

the answer in terms of Pi

User Ntm
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1 Answer

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Answer:

We know length of one quarter of a circle = 2πr/4 = πr/2

So here we can make the equation for to find thr value of radius r

length of one quarter given = 25 cm

so πr/2 = 25 cm

=> πr = 50 cm

=> r = 50/π cm

So the entire circumference of circle =

2πr

= 2 π 50/π cm

= 100π/π cm (ans)

Here we dont substitute the value of π due to represent the answer in terms of pi.

Hope it helps you

User Aroyc
by
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