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12. Areas Related to Circles
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Q12 of 45 Page 12

Find the area of the shaded region in Fig. 12.20, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠ AOC = 40°.

 (CBSE 2014)



Area of the shaded region = Area of Bigger sector – Area of Smaller Sector

If r2 and r1 are the two radii of Bigger and Smaller circles respectively, then:

Area of bigger sector = 40/360 πr22

Area of smaller sector = 40/360 πr12

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10

From a rectangular sheet of paper ABCD wit AB = cm and AD = 28 cm, a semicircular portion wit BC as diameter is cut off. Find the area of the remaining paper. (CBSE 2012)

11

Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm × 7 cm. Find the area of the remaining card board. [use π = (22/7)]

hhdhdhjd.png(CBSE 2013)

13

In Fig. 2, a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 20 cm, find the area of the shaded region.

(Use π = 3.14)


(CBSE 2013, 14)

14

A regular hexagon is inscribed in a circle. If the area of hexagon is,find the area of the circle.

(CBSE 2015)

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12. Areas Related to Circles
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