If the radius of a circle is increased by 200%, then its area will increase by :
A. 200%
B. 400%
C. 800%
D. 900%
Answer: Option C
Solution(By Examveda Team)
Let the original radius be RNew radius = (100 + 200)% of R = 300% of R = 3R
Original area = $$\pi $$R2
New area = $$\pi $$ × (3R)2 = 9$$\pi $$R2
Increase in area :
$$\eqalign{ & = \left( {9\pi {{\text{R}}^2} - \pi {{\text{R}}^2}} \right) \cr & = 8\pi {{\text{R}}^2} \cr} $$
∴ Increase %:
$$\eqalign{ & = \left( {\frac{{8\pi {{\text{R}}^2}}}{{\pi {{\text{R}}^2}}} \times 100} \right)\% \cr & = 800\% \cr} $$
Related Questions on Area
A. 15360 m2
B. 153600 m2
C. 30720 m2
D. 307200 m2
E. None of these
A. 2%
B. 2.02%
C. 4%
D. 4.04%
E. None of these
A. 16 cm
B. 18 cm
C. 24 cm
D. Data inadequate
E. None of these
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A. 40%
B. 42%
C. 44%
D. 46%
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