Question

Radius (r) = 14cm

Angle at centre = ?

Arc length = 55m

Area = ?

Perimeter =?
___________________

Find angle at centre, area and perimeter. With complete steps.

Answer 1

55m = 5500cm

Arc length = x/360 × 2πr

=> 5500 = x/180 × 22/7 × 14

=> 5500×180 = 44x

=> 500×180 = 4x

=> x = 22500° = 62(360°) + 180

so, the angle is 180°

perimeter = r+r+Arc length = 14+14+55

=> perimeter = 83cm

area = x/360 × πr² = 180/360 × 22/7 × 14 × 14

= 22×14

=> area = 308cm2