Chapter 6
Measuring Space: Perimeter and Area
CBSE Class 9
Mathematics Solutions
Educart Mathematics class Class 9 NCERT Exemplar cover
Question:

A car has two wipers which do not overlap. Each wiper has a blade of length 28 cm and sweeps through an angle of 120°. Find the total area cleaned at each sweep of the blades.                                                          [Page No. 148]

Answer: Verified

Area swept by one wiper = πr2×θ360\pi r^2 \times \frac{\theta}{360^\circ}

=227×282×120360=227×784×13=22×78421=1724821=821.33 cm2=2×821.33=1642.67 cm2\begin{aligned} &= \frac{22}{7} \times 28^2 \times \frac{120}{360} \\ &= \frac{22}{7} \times 784 \times \frac{1}{3} \\ &= \frac{22 \times 784}{21} = \frac{17248}{21} = 821.33 \text{ cm}^2 \\ &= 2 \times 821.33 \\ &= 1642.67 \text{ cm}^2 \end{aligned}

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