Question

Find the perimeter of a sector of a circle if its measure is 90 ° and radius is 7 cm.Choose the correct alternative answer for the following question.
(A) 44 cm
(B) 25 cm
(C) 36 cm
(D) 56 cm

Answer 1

11 is answer
no one option is listed

Answer 2

Answer:

(B) 25 cm

Step-by-step explanation:

Given,

measure of the angle of sector = 90°

Radius of circle = 7 cm

We have to calculate the perimeter of sector which is a part of circle.

We know that,

perimeter of circle = 2.π.r

So, we can write the perimeter of sector of circle which forms a angle of 90° at the center.

$P\ =\ \dfrac{90}{360}2.\pi.r + 2.r$

$=\ \dfrac{1}{4}\times 2\times \pi\times 7+2\times 7$ cm

  = 10.99 + 14 cm

   = 24.99 cm

So, the perimeter of the given sector of the circle is 25 cm(approx).