Question

the perimeter of a certain sector of a circle of radius 6.5cm is 21 .find the area of the sector​

Answer 1

Answer:

Step-by-step explanation:

Given:

Radius = 6.5cm

Perimeter of sector = 21cm

Formula for perimeter = arc + 2 radius

21 = θ/360*2πr + 2r

21 =  θ/360*2*22/7*6.5 + 2*6.5

21 =  θ/360*286/7 + 13

21-13 =  θ/360*286/7

8 * 7/286=  θ/360

56 / 286 = θ/360

56*360/286 = θ

70 degrees = θ (estimated)

Using the formula to find area = θ/360 * πr^2

θ/360 * πr^2

70/360 * 22/7 * 6.5 *6.5

7/36 *22/7 * 42.25

1/18 * 11 * 42.25

464.75/18

=25.81 (approximately)

hope it helped!