Question

Given that the area of a sector is 76cm

2

. Find the radius given that the

angle is 90°. Find the perimeter of the sector.​




The perimeter of a sector is 45cm . Given that the angle is 110°, find
the value of the radius.

Answer 1

Answer:

Radius= ?

Area of sector=

$\frac{angle}{360} \times \pi \: {r}^{2}$

$\frac{90}{360} \times \frac{22}{7} \times {r}^{2} = 76$

${r}^{2} = \frac{76 \times 14}{11}$

r^2= 96.7272...

r=9.83

Perimeter=length of arc+2r

=

$\frac{90}{360} \times 2 \times \frac{22}{7} \times 9.83$

=15.44