Question

Measure of an arc of a sector of a circle is 900
and its radius is 7cm.
Find the perimeter of the sector.
(A) 44 cm (B) 25 cm (C) 36 cm (D) 5

Answer 1

Solution :

Given ,

sector angle (x°) = 90°

= π/2

radius (r) = 7cm

perimeter (P) = 2r + rx°

= 2×7 + 7 × (π/2)

= 14 + 7 × ( 22/14 )

= 14 + 11

= 25 cm


••••

Answer 2

Answer:

Option B is correct.

Step-by-step explanation:

Given measure of an arc of a sector of a circle is 90° and its radius is 7 cm.

we have to find the perimeter of sector.

Radius (r) = 7cm

Perimeter= 2r + Length of arc

$P= 2\times 7 +\frac{\theta}{360}\times 2\pi r$

 $= 14 + \frac{90}{360}\times 2\times\frac{22}{7}\times 7$

 $=14+11=25cm$

Hence, the perimeter of sector is 25 cm.

Option B is correct.