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12. Areas Related to Circles
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Q14 of 45 Page 12

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

(CBSE 2015)

Given,


Area of regular hexagon = cm2


From formula





So,


Area of circum circle of regular hexagon = π(side)2


= 3.14×4×4cm2 = 50.24cm2

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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)

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)

15

A chord of a circle of radius 14 cm subtends an angle of 120° at the center. Find the area of the corresponding minor segment of the circle. Use

π = 22/7 and √3 = 1.73. (CBSE 2011)

16

Find the area of the major segment APB, in fig. 5, of a circle of radius 35 cm and ∠AOB=90°. [Use π =

(CBSE 2011)

Questions · 45
12. Areas Related to Circles
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