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

In the given figure, $$A B$$ is a chord of the circle and $$A O C$$ is its diameter $$d$$ such that $$\angle A C B=50^{\circ}$$. If $$A T$$ isthe tangent to the circle at the point $${A}$$, then $$\angle B A T$$ is equal to :
![](http://admin.getprephub.com/media/editor/1892_20210306143928917007.png)

Accepted Answer

Covalent bond

Answer

$$50^{\circ}$$

Answer

$$65^{\circ}$$

Answer

$$60^{\circ}$$

Answer

$$40^{\circ}$$

Question 4

Two concentric circles are of radii $$5 {~cm}$$ and $$3 {~cm}$$. Length of the chord of the larger circle, (in $${cm}$$ ), which touches the smaller circle is :

Accepted Answer

Covalent bond

Answer

$$8 ~cm$$

Answer

$$4~cm$$

Answer

$$5 ~cm$$

Answer

$$10 ~cm$$

Question 5

When we draw any line from centre to the tangent, then it always be __

Accepted Answer

Covalent bond

Answer

Perpendicular

Answer

Parallel

Circles Cbse Class 10 Maths Problems and Solutions

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