Question

A sector of 120, cut out from a circle, has an area of 667cm2. Find the radius of the circle ?

A) 1 B) 2 C) 3 D) 4

Answer 1

Answer:

12Q:

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: C) 3cm

Explanation:

πr=667

r =3

Answer 2

Correct question :

A sector of 120, cut out from a circle, has an area of 66/7 cm². Find the radius of the circle?

Options :

A) 1

B) 2

C) 3

D) 4

Answer :

Option c ( 3 ) is correct.

Solution :

It is given that,

• Area of sector = 66/7 cm²
• Sector is of 120°

we know that,

Area of sector = given angle/360°  × πr²

Substitute the given values. we get,

⇒ 120/360 × 22/7  × r² = 66/7

⇒ 1/3 × r² = 66/7 × 7/22

⇒ 1/3  × r² = 3/1

⇒ r² = 3 × 3

⇒ r² = 9

∴ r = 3 cm

$\rule{200}2$