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A Chord of a Circle of Radius 14 Cm a Makes a Right Angle at the Centre. Find the Area of the Sector. - Mathematics

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Question

A chord of a circle of radius 14 cm a makes a right angle at the centre. Find the area of the sector.

Sum

Solution

Let r cm be the radius of the circle and θ be the angle.

We have:

r = 14 cm and θ = 90°

Area of the sector `=(pi"r"^2theta)/360`

`=(22/7xx14xx14xx90/360) "cm"^2`

= 154 cm2

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Chapter 18: Area of Circle, Sector and Segment - Formative Assessment [Page 852]

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RS Aggarwal Mathematics [English] Class 10
Chapter 18 Area of Circle, Sector and Segment
Formative Assessment | Q 9 | Page 852

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