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In the Given Figure, Pq and Ab Are Respectively the Arcs of Two Concentric Circles of Radii 7 Cm and 3.5 Cm with Centre O. If ∠Poq = 30°, Find the Area of the Shaded Region. - Mathematics

Sum

In the given figure, PQ and AB are respectively the arcs of two concentric circles of radii 7 cm and 3.5 cm with centre O. If ∠POQ = 30°, find the area of the shaded region.

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Solution

Area of the shaded portion = Area of sector OPQ − Area of sector OAB

`= 30^circ/360xxpi(7)^2 - 30^circ/360^circxxpi(3.5)^2`

`=22/7xx1/12[(7)^3 - (3.5)^2]`

`= 22/7 xx 1/12[(7)^2-(7/2)^2]`

`=22/7xx1/12xx147/4`

`=77/8  "cm"^2`

Hence, the area of the shaded portion is`77/8` cm2 .

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 30 | Page 821
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