MISC
Maths Problems dated 03 Nov 2021
Problem No 01
Perimeter of the given shape will be equal to
= Circumference of half semi circle (APB) + Circumference of quarter semicircle AQO + QO RADIUS + OB RADIUS
= ( PI * R ) + (0.5 * PI * R) + R + R
But this perimeter is given equal to the 47 cm.
Hence,
( PI * R ) + (0.5 * PI * R) + R + R = 47 cm
R * ( 22/7 + 11/7 + 1 + 1 ) = 47 CM
R * ( 47/7) = 47 CM
It implies that R = 7 cm
Area of Shaded Region
Area of total Circle - Area of Quarter CIrcle
(PI * R * R ) - (0.25 * PI * R* R) = (0.75 * PI * R* R)
= 0.75 * 22/7 * 7 * 7 = 115.50 CM2 ANS
It seems that answer given is incorrect.
Problem No 02
Hence the correct answer is C 7 : 1 .
Problem No 03
Thank you.
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