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The Radius of a Circle is 10 Cm. the Measure of an Arc of the Circle is 54°. Find the Area of the Sector Associated with the Arc. ( π = 3.14 ) - Geometry

Sum

The radius of a circle is 10 cm. The measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. (\[\pi\]= 3.14 )

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Solution

Radius of the circle, r = 10 cm
Measure of the arc, θ = 54º 
∴ Area of the sector = \[\frac{\theta}{360° } \times \pi r^2 = \frac{54° }{360° } \times 3 . 14 \times \left( 10 \right)^2\] = 47.1 cm2  

Thus, the area of the sector is 47.1 cm2.

Concept: Length of an Arc
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APPEARS IN

Balbharati Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board
Chapter 7 Mensuration
Practice set 7.3 | Q 1 | Page 154
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