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 Gseb Class 10 Maths Problems and Solutions

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