NCERT Solutions Class 10 Mathematics Solutions for Areas Related to Circles - Exercise 12.2 in Chapter 12 - Areas Related to Circles

Question 12 Areas Related to Circles - Exercise 12.2

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.

Answer:

Given,

Radius (r) = 25 cm

Sector angle (θ) = 115°

Since there are 2 blades,

The total area of the sector made by wiper

$= 2×(\frac{θ}{360°})×π r^2\\ = 2×(\frac{115}{360})×(\frac{22}{7})×(25)^2\\ = 2×\frac{158125}{252}\ cm^2\\ = \frac{158125}{126} = 1254.96\ cm^2\\$

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Exercises

Areas Related to Circles - Exercise 12.1

Areas Related to Circles - Exercise 12.2

Areas Related to Circles - Exercise 12.3

Chapters

Real Numbers

Polynomials

Pair of Linear Equations in Two Variables

Quadratic Equations

Arithmetic Progressions

Triangles

Coordinate Geometry

Introduction to Trigonometry

Some Applications of Trigonometry

Circles

Areas Related to Circles

Surface Areas and Volumes

Statistics

Probability