Question

Measure of an arc of a sector of a circle is 90° and its radius is 7cm. Find the perimeter of the sector.
A. 44CM
B.25CM
C.36CM
D 56CM

Answer 1

90/360×2πr = length of the arc
1/4×2×22/7×7 = 11cm
the perimeter = 11+7+7 = 25cm

Answer 2

Measure of an arc of a sector of a circle is 90° and its radius is 7cm. Find the perimeter of the sector.

A. 44CM

B.25CM

C.36CM

D 56CM

perimeter of sector = radius + arc length + radius

radius = 7cm

segment arc length = (segment angle/360) × 2 × pie × radius

segment angle = 90

pie = 22/7

segment arc length = (90/360) × 2 × (22/7) × 7

segment arc length= 44/4

segment arc length= 11 cm

perimeter of sector = 7 + 11 + 7 = 25cm

option B is the right answer.