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15. Areas Related to Circles
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Q13 of 68 Page 15

Find the area of Fig15.68, in square cm, correct to one place of decimal.

Area of semicircle with diameter = 10cm




Area of triangle AED =


Area of square ABCD = 10×10 = 100cm2


Area of figure excluded triangle = 100-24 = 76 cm2


Total area of figure = 39.28+76 = 115.3 cm2


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11

Prove that the area of a circular path of uniform width h surrounding a circular region of radius is.

12

The inside perimeter of a running track (showninFig.15.67) is 400m. The length of each of the straight portion is 90m and the ends are semi-circles. If the track is everywhere 14m wide, find the area of the track. Also find the length of the outer running track.

14

In Fig.15.69, AB and CD are two diameters of a circle perpendicular to each other and OD is the diameter of the smaller circle. If OA=7cm, find the area of the shaded region.

15

In Fig.15.70, OACB is a quadrant of a circle with centre O and radius 3.5cm. If OD=2cm, find the area of the (i) quadrant OACB (ii) shaded region.

Questions · 68
15. Areas Related to Circles
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