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Q.

A circular gift-wrapping paper is having an area of a 154 square cm. What is the radius, diameter and circumference of this circular paper?

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a

radius = 37 cm, diameter = 44 cm and circumference = 44 cm

b

radius = 17 cm, diameter = 24 cm and circumference = 34 cm

c

radius = 7 cm, diameter = 14 cm and circumference = 44 cm

d

radius = 27 cm, diameter = 54 cm and circumference = 64 cm

answer is A.

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Detailed Solution

Area of circle = πr2

154 = 227 × r × r

1078 = 22 × r × r

107822 = r × r

49 = r × r

49 = r2

r = 49

r = 7

The radius of a circle with an Area of 154 is 7 cm.

Diameter = 2×radius

D = 2 × 7 

= 14 cm

The circumference of the circle is 2πr or πD

= 227× 14  = 22 × 2  = 44 cm

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