# Area and perimeter Questions and answers

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51). If the radius of a circle is increased by 6%, find the percentage increase in its area.
 A). 15% B). 12.36% C). 8.39% D). 17%
52). The area of a sector of a circle is 77 sq cm and the angle of the sector is 45 degree. Find the radius of the circle.
 A). 7 cm B). 14 cm C). 21 cm D). 28 cm
53). The wheel of an engine turns 350 times round its axle to cover a distance of 1.76 km. The diameter of the wheel is
 A). 3 cm B). $$\Large 3\sqrt{3}$$ cm C). 9 cm D). 160 cm
54). The ratio of the areas of the circumcircle and the incircle of a square is
 A). 2 : 1 B). 1 : 2 C). $$\Large \sqrt{2}:1$$ D). $$\Large 1:\sqrt{2}$$
55). The circumferences of two circles are in the ratio 2 : 3. What is the ratio of their areas?
 A). 2 : 3 B). 4 : 9 C). 1 : 3 D). 8 : 27

56). Consider the following statements
Area of segment of a circle is less than area of its corresponding sector.
Distance travelled by a circular Wheel of diameter 2d cm in one revolution is greater than 6d cm.
Which of the above statements is/are correct?

 A). Only I B). Only II C). Both I and II D). Neither I nor II
57). The radius of a circle is so increased that its circumference increased by 5%. The area of the circle, then increases by
 A). 12.5% B). 10.25% C). 10.5% D). 11.25%
58). The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the Circle.
 A). 6 cm B). 3.2 cm C). 3 cm D). 3.5 cm
59). What is the area of the larger segment circle formed by a chord of, length 5 cm subtending an angle of 90 degree at the centre?
 A). $$\Large \frac{25}{4}\left(\frac{\pi}{2}+1\right)cm^{2}$$ B). $$\Large \frac{25}{4}\left(\frac{\pi}{2}-1\right)cm^{2}$$ C). $$\Large \frac{25}{4}\left(\frac{3\pi}{2}+1\right)cm^{2}$$ D). None of the above
60). A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30m/min, then the radius of the circular ground is $$\Large (take \ \pi = 22/7)$$
 A). 10.5 m B). 3.5 m C). 5.5 m D). 7.5 m
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