Quiz about Circles

Question 1

Find in terms of $$\pi,$$ the length of the arc that subtends an angle of $$30 ^\circ$$, at the center of $$O$$ of the circle with a radius of $$4 ~cm$$

Accepted Answer

Covalent bond

Answer

$$\frac{2 \pi}{3} {cm}$$

Answer

$$\frac{4 \pi}{3} {cm}$$

Answer

$$\frac{23 \pi}{3} {cm}$$

Answer

$$\frac{7 \pi}{3} {cm}$$

Question 2

In circle of radius 6 cm. Chord of length $$10 ~cm$$ makes an angle of $$110^{\circ}$$ at the centre of circle. Find: Length of arc

Accepted Answer

Covalent bond

Answer

$$\frac{19 \pi}{3} ~cm$$

Answer

$$\frac{13 \pi}{3} ~cm$$

Answer

$$\frac{11 \pi}{3} ~cm$$

Answer

$$\frac{17 \pi}{3} ~cm$$

Question 3

Find the angle subtended at the centre of circle of radius $$5 ~cm$$ by an arc of length $$\frac{5 \pi}{3} {cm}$$

Accepted Answer

Covalent bond

Answer

$$80^{\circ}$$

Answer

$$60^{\circ}$$

Answer

$$90^{\circ}$$

Answer

$$70^{\circ}$$

Question 4

An arc of length $$20 \pi$$cm subtends an angle of $$144^{\circ}$$ at the center of the circle.
Find the radius.

Accepted Answer

Covalent bond

Answer

$$35 ~cm$$

Answer

$$25 ~cm$$

Answer

$$30 ~cm$$

Answer

$$20 ~cm$$

Question 5

An arc of length $$25 ~cm$$ subtends an angle of $$55^{\circ}$$ at the center of a circle. Find in terms of $$\pi,$$ radius of the circle.

Accepted Answer

Covalent bond

Answer

$$\frac{800}{11 \pi} ~m$$

Answer

$$\frac{700}{11 \pi} ~m$$

Answer

$$\frac{900}{11 \pi} ~m$$

Answer

$$\frac{500}{11 \pi} ~m$$

R D Sharma Circles Gseb Class 10 Maths Problems and Solutions

Many students find Circles for Gseb Class 10 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Circles from R D Sharma for Gseb Class 10 preparation.