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5. Outside Delhi - 2012
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Q19 of 52 Page 1

In Figure 7, find the area of the shaded region, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

Given;


A square ABCD with the side 14 cm


Side (diameter) = 14 cm


∴Radius, r = 7 cm


Area of the shaded region = area of the Square – 2area of the semi-circle




= 196 – 154 = 42 cm2


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In Figure 5, a circle is inscribed in a triangle PQR with PQ = 10 cm, OR = 8 cm and PR = 12 cm. Find the lengths of QM, RN, and PL.

19

In Figure 6, O is the center of the circle with AC = 24 cm, AB = 7 cm and ∠BOD = 90°. Find the area of the shaded region. (Use π = 3.14)

20

An ice-cream seller sells his ice creams in two ways:

(A) In a cone of r = 5 cm, h = 8 cm


(B) In a cup in shape of cylinder with r = 5 cm, h = 8 cm


He charges the same price for both but prefers to sell his ice-cream in a cone.


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(b) Which out of the two has more capacity?


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21

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Questions · 52
5. Outside Delhi - 2012
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