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CBSE - Class 10 > Mathematics > Areas Related to Circles Worksheets

Free CBSE - Class 10 Mathematics - Areas Related to Circles worksheets

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1.
A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
2.
To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle 80° to a distance of 16.5 km. Find the area of the sea over which the ships are warned. (Use $\pi = 3.14$)
3.

A round table cover has six equal designs as shown in Fig. 11.11. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of ` 0.35 per cm$^2$. (Use $\sqrt{3} = 1.7$)

4.

Tick the correct answer in the following : Area of a sector of angle $p$ (in degrees) of a circle with radius $R$ is

1.

$\frac{p}{180} \times 2 \pi R$

 2.

$\frac{p}{180} \times \pi R^2$

 3.

$\frac{p}{360} \times 2 \pi R$

 4.

$\frac{p}{720} \times 2 \pi R^2$
5.
Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
6.
Find the area of a quadrant of a circle whose circumference is 22 cm. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
7.
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. (Unless stated otherwise, use $\pi = \frac{22}{7}$)
8.
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding : (i) minor segment (Use $\pi = 3.14$)
9.
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding : (ii) major sector. (Use $\pi = 3.14$)
10.
In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find: (i) the length of the arc (Unless stated otherwise, use $\pi = \frac{22}{7}$)
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Chapters in CBSE - Class 10 Mathematics

Applications of Trigonometry Worksheet Arithmetic Progression Worksheet Circles Worksheet Constructions Worksheet Coordinate geometry Worksheet Introduction to Trigonometry Worksheet Pair of linear equations in two variable Worksheet Polynomials Worksheet Probability Worksheet Quadratic Equations Worksheet Real numbers Worksheet Statistics Worksheet Surface Areas and Volumes Worksheet Triangles Worksheet

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Top Concept Videos in Mathematics Areas Related to Circles

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