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 =

= cm^{2}

**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 =

= = cm^{2}

**Q****3****. 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 =

= cm^{2}

**Q****4****. 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

**Q****5****. 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

Also Read |
Class 10 Math NCERT Solution |

Also Read |
Class 10 Important Questions [Latest] |