If the radius of a circle is increased by 75 | vedclass

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

Question

(C) The formula for the circumference of a circle is $C = 2 \pi r,$ where $r$ is the radius.Since $2 \pi$ is a constant,the circumference $C$ is direc

Vedclass · Accepted Answer

$75$

Vedclass · Answer

(C) The formula for the circumference of a circle is $C = 2 \pi r,$ where $r$ is the radius.Since $2 \pi$ is a constant,the circumference $C$ is directly proportional to the radius $r$ $(C \propto r)$.If the radius $r$ is increased by $75 \%,$ the new radius $r'$ becomes $r + 0.75r = 1.75r$.The new circumference $C'$ will be $2 \pi (1.75r) = 1.75(2 \pi r) = 1.75C$.The percentage increase in circumference is given by $\frac{C' - C}{C} 	imes 100 = \frac{1.75C - C}{C} 	imes 100 = 0.75 	imes 100 = 75 \%$.Therefore,the circumference increases by $75 \%$.

If the radius of a circle is increased by $75 \%,$ then its circumference will increase by (in $\%$)

Similar Questions

The length of a rectangular plot is thrice of its breadth. If the area of the rectangular plot is $7803 \ m^2$,what is the breadth of the rectangular plot? (in $m$)

The length of a rectangle is thrice its breadth and its perimeter is $96 \, m$. The area of the rectangle is......$m^2$

$A$ circular disc of area $0.49 \pi \, m^2$ rolls down a length of $1.76 \, km$. The number of revolutions it makes is:

The length and breadth of a rectangle are increased by $10 \%$ and $20 \%$ respectively. What will be the percentage increase in the area of the rectangle (in $\%$)?

$A$ rope by which a calf is tied is increased from $12 \ m$ to $23 \ m$. How much additional grassy ground shall it graze? (in $m^2$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module