# NCERT Class 10 Math Chapter 11 Important Questions Answer – Areas Related to Circles

 Class 10 Chapter Areas Related to Circles Subject Math Category Important Question Answer

## Class 10 Math Chapter 11 Important Question Answer

Q1. Find the area of the sector of a circle with radius 7 cm and the angle at the centre is 30°.  Most Most Important

Ans. Given r = 7cm, θ = 30°

Area of sector =

= cm2

Q2. A chord of a circle of radius 10 cm subtends an angle of 60° at the centre. Find the area of the corresponding sector.

Ans. Given r = 10 cm, θ = 60°

Area of sector =

= = cm2

Q3. The circumference of semi-circular piece of design is 72 cm. Find its area.

Ans. Given, Circumference of a semi-circle = 72 cm, area of semicircle = ?

Using, Circumference of a semi-circle = 2r + πr

By comparing,

2r + πr = 72

r(2 + π) = 72

r = 14 cm

Area of semicircle =

= cm2

Q4. In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find the length of arc.

Ans. Given r = 21 cm, θ = 60°

Length of arc =

= cm

Q5. Circumference of a circle is 22 cm, find the radius of the circle.

Ans. Given circumference of a circle = 22 cm

Using, Circumference of a circle = 2r

On comparing,

2πr = 22

= 22

r = cm

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