While calculating the area of a circle,its ra | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Actual area of the circle with radius $r_1 = 5 \, cm$ is $A_1 = \pi r_1^2 = \pi(5)^2 = 25\pi \, cm^2$.Calculated area of the circle with radius $r

Vedclass · Accepted Answer

$44$

Vedclass · Answer

(C) Actual area of the circle with radius $r_1 = 5 \, cm$ is $A_1 = \pi r_1^2 = \pi(5)^2 = 25\pi \, cm^2$.Calculated area of the circle with radius $r_2 = 6 \, cm$ is $A_2 = \pi r_2^2 = \pi(6)^2 = 36\pi \, cm^2$.The increase in area is $A_2 - A_1 = 36\pi - 25\pi = 11\pi \, cm^2$.The percentage increase in the calculated area is given by $\frac{	ext{Increase in area}}{	ext{Actual area}} 	imes 100 = \frac{11\pi}{25\pi} 	imes 100$.$= \frac{11}{25} 	imes 100 = 11 	imes 4 = 44 \%$.

While calculating the area of a circle,its radius was taken to be $6 \, cm$ instead of $5 \, cm$. The calculated area is $\dots \%$ more than the actual area.

Similar Questions

If the circumference of a circle and the perimeter of a square are equal,then

The circumference of the wheels of a truck is $440 \, cm$. They make $250$ rotations per minute. Then,the speed of the truck is $\ldots \ldots \ldots \ldots \, km/h$.

If the perimeter of a circle is equal to that of a square,then the ratio of their areas is

As shown in the diagram, rectangle $ABCD$ is a metal sheet in which $CD = 20 \, cm$ and $BC = 14 \, cm$. From it, a semicircle with diameter $\overline{BC}$ and a sector with centre $A$ and radius $AD$ is cut off. Find the area of the remaining sheet in $cm^2$.

The circumference of a circle with radius $8.4\,cm$ is $\ldots \ldots \ldots \ldots cm$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module