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A Sector of Circle of Radius 4cm Contains an Angle of 30°. Find the Area of Sector - Mathematics

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Question

A sector of circle of radius 4cm contains an angle of 30°. Find the area of sector

Solution

Radius = 4 cm = r

Angle subtended at centre = 𝜃 = 30°

Area of sector (shaded region)

=`theta/360^@× pir^2`

=`30/360×22/7`× 4 × 4

=`88/21cm^2`

∴ 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑟𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑠𝑒𝑐𝑡𝑜𝑟 =`88/21cm^2`

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Chapter 13: Areas Related to Circles - Exercise 13.2 [Page 24]

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RD Sharma Mathematics [English] Class 10
Chapter 13 Areas Related to Circles
Exercise 13.2 | Q 6 | Page 24
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