The diameter of a circle is 105 , cm less tha | vedclass

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

Question

(D) Let the diameter of the circle be $d$ and the circumference be $C$.We know that the circumference of a circle is given by $C = \pi d$.According to

Vedclass · Accepted Answer

$49$

Vedclass · Answer

(D) Let the diameter of the circle be $d$ and the circumference be $C$.We know that the circumference of a circle is given by $C = \pi d$.According to the problem,the diameter is $105 \, cm$ less than the circumference,so $d = C - 105$.Substituting $C = \pi d$ into the equation,we get $d = \pi d - 105$.Rearranging the terms,we have $\pi d - d = 105$,which implies $d(\pi - 1) = 105$.Using $\pi = \frac{22}{7}$,we get $d(\frac{22}{7} - 1) = 105$.$d(\frac{22 - 7}{7}) = 105 \Rightarrow d(\frac{15}{7}) = 105$.$d = 105 	imes \frac{7}{15} = 7 	imes 7 = 49 \, cm$.Therefore,the diameter of the circle is $49 \, cm$.

The diameter of a circle is $105 \, cm$ less than its circumference. What is the diameter of the circle? (in $cm$)

Similar Questions

If the ratio of areas of two squares is $225: 256,$ then the ratio of their perimeters is

The area of a square is $196 \, cm^2$. Its side is half the radius of a circle. The circumference of the circle is equal to the breadth of a rectangle. If the perimeter of the rectangle is $712 \, cm$,what is the length of the rectangle? (in $cm$)

$ABCD$ is a parallelogram as shown in the figure. Find its area in $cm^2$.

If the height of an equilateral triangle is $2 \sqrt{3} \text{ cm}$,then the length of its side is ...... $\text{cm}$.

The area of a circle is $154 \, cm^{2}$. The length of an arc of the circle which subtends an angle of $45^{\circ}$ at the centre is......$cm$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module