Home
Class 10
MATHS
Tick the correct answer in the following...

Tick the correct answer in the following and justify your choice : If the perimeter and the area of a circle are numerically equal, then the radius of the circle is(A) `2` units (B) `pi`units (C) `4` units (D) `7` units

Text Solution

Verified by Experts

The correct Answer is:
(A) `radius=2` units
Let the radius be `r`
Given: `pi*r^2=2pir`
`rArrr(r-2)=0`
`rArrr=2` units
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    NCERT|Exercise SOLVED EXAMPLES|6 Videos

  • AREAS RELATED TO CIRCLES

    NCERT|Exercise EXERCISE 12.3|16 Videos

  • ARITHMETIC PROGRESSIONS

    NCERT|Exercise Exercise 5.3|20 Videos

Similar Questions

Explore conceptually related problems

If the perimeter and the area of a circle are numerically equal, then find the radius of the circle

If the perimeter of a circle is numerically equal to its area,find the radius of the circle.

Knowledge Check

  • The difference of perimeter and diameter of a circle 18 X unit. The diameter of the circle is

    A
    a) `(X)/(pi -1)` unit
    B
    b) `(x)/(pi + 1)` unit
    C
    c) `(X)/(pi)` unit
    D
    d) `(X/n -1)` unit

  • Three equal circles of unit radius touch each other. Then, the area of the circles is

    A
    `(pi)/(3)(2 + sqrt(3))^(3)`
    B
    `(2pi)/(3)(2 + sqrt(3PP^(2)))`
    C
    `6 pi (2 + sqrt(3))^(2)`
    D
    `(1)/(6) pi(2 + sqrt(3))^(2)`

    • Similar Questions

    Explore conceptually related problems

    If the circumference and the area of a circle are numerically equal, then diameter of the circle is (a) pi/2 (b) 2pi (c) 2 (d) 4

    If the volume and surface area of a sphere are numerically the same, then its radius is (a) 1 unit (b) 2 units (c) 3 units (d) 4 units

    If the circumference and the area of a circle are numerically equal,then the diameter is equal to (pi)/(2) (b) 2backslash pi( c) 2 (d) 4

    The area of a circle whose area and circumference are numerically equal, is (a) 2pi sq. units (b) 4pi sq. units (c) 6pi sq. units (d) 8pi sq. units

    The area of a circle inscribed in an equilateral triangle is 36pi sq units. The length of altitude of triangle is (A) 12 units (B) 14 units (C ) 16 units (D) 18 units

    What is the area of a circle inscribed in a square of side 'a' units?

    Home
    Profile