Figure 15.18 shows a sector of a circle of radius r cm containing an angle _θ°. The area of the sector is A cm² and perimeter of the sector is 50cm.

Question

Figure 15.18 shows a sector of a circle of radius r cm containing an angle &#x3B8;&#xB0; . The area of the sector is A cm 2 and perimeter of the sector is 50cm. (i) (ii)

Philoid · Accepted Answer

Given,

Radius of the sector = r cm

Angle subtend = θ

Area of sector = A cm²

Perimeter of sector = 50cm

Area of sector =

Perimeter of sector =

(i)

First equation

Second equation

Put value of from equation first to equation second

Area = 25r-r²

Figure 15.18 shows a sector of a circle of radius r cm containing an angle θ°. The area of the sector is A cm2 and perimeter of the sector is 50cm.(i)(ii)

Figure 15.18 shows a sector of a circle of radius r cm containing an angle _θ°. The area of the sector is A cm² and perimeter of the sector is 50cm.
(i)(ii)