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%

Correct Answer:
B) 12.36%

Description for Correct answer:

Given that, a = 6

According to the formula,

Percentage increase in area

= \( \Large \left(2a+\frac{a^{2}}{100} \right) \% \)

= \( \Large \left(2\times 6+\frac{86}{100} \right)% \)

= (12 + 0.36)% = 12.36%


Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter








Comments

No comments available




Similar Questions
1). 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
-- View Answer
2). 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
-- View Answer
3). 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). \( \Large 1:\sqrt{2} \)
-- View Answer
4). 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
-- View Answer
5). 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
-- View Answer


6). 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%
-- View Answer
7). 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
-- View Answer
8). 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
-- View Answer
9). 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
-- View Answer
10). What is the total area of three equilateral triangles inscribed in a semi-circle of radius 2cm?
A). \( \Large 12 cm^{2} \)
B). \( \Large \frac{3\sqrt{3}}{4}cm^{2} \)
C). \( \Large \frac{9\sqrt{3}}{4}cm^{2} \)
D). \( \Large 3 \sqrt{3}cm^{2} \)
-- View Answer