Question

A sector of 120 degrees, cut out from a circle, has an area of 66/7 sq cm. Find the radius of the circle.
A) 1cm
B) 2cm
C) 3cm
D) 4cm

Answer 1

Answer:

Step-by-step explanation

Answer 2

Answer:

A sector of 120 degrees, cut out from a circle, has an area of 66/7 sq cm

then Radius = 3 cm

option C is correct

Step-by-step explanation:

Area of circle = π R²

π = 22/7

R = ? cm

A sector of 120° cut out from a circle

Area of sector = ( Angle/360°) π R²

= ( 120°/360°)(22/7)R²

= (1/3)(22/7)R²

Area of sector = 66/7  cm²

=> (1/3)(22/7)R² =  66/7

=> R² = 9

=> R = 3 cm

Radius = 3 cm

option C is correct