Home
Class 10
MATHS
The circumference of a circle exceeds th...

The circumference of a circle exceeds the diameter by 16.8 cm. Find the radius of the circle.

Text Solution

Verified by Experts

Let the radius of the circle be r.
Diameter = 2r
Circumference of circle `= 2 pi r`
Using the given information, we have
`2 pi r= 2r + 16.8`
`rArr 2 xx (22)/(7) xx r = 2r + 16.8 " " rArr 44r = 14 r + 16.8 xx 7`
`rArr 30 r = 117.6 " " rArr r = (117.6)/(30) = 3.92 cm`
Promotional Banner

Topper's Solved these Questions

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT /exemplar|25 Videos

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 12 A|24 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Question|5 Videos

Similar Questions

Explore conceptually related problems

The circumference of a circle exceeds the diameter by 30 cm. Find the radius of the circle.

The circumference of a circle exceeds the diameter by 16.8 cm. Find the circumference of the circle.

The circumference of a circle exceeds its diameter by 270 cm. Find its diameter.

A rhombus has the same perimeter as the circumference of a circle. If the side of the rhombus is 2.2 m. find the radius of the circle.

A circle has diameter 16 cm . What is the radius of the circle ?

Find the circumference of a circle whose diameter is 42 cm.

The circumference of a circle is 17pi . What is the diameter?

The circumference of a circle is 31.4 cm. Find the radius and the area of the circle ? (Take pi=3.14 )

A circle has diameter 20 cm. What is the radius of the circle?

The circumference of a circle is 44 cm. Find its area.