Class X Session 2023-24 Question 14

 MATH SAMPLE QUESTION PAPER

Class X Session 2023-24

MATHEMATICS STANDARD (Code No.041)

Question 14

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

is

(a) 2 units 

(b) π units 

(c) 4 units 

(d) 7 units

Explanation : 

This question is really easy to answer.

The perimeter of a circle (circumference) is given by 2𝜋𝑟 where 𝑟 is the radius.

The area of a circle is given by 𝜋𝑟^2, where 𝑟 is the radius

Given that the perimeter and the area are numerically equal, we can set up the equation

$$giventhat2\pi r=2\pi (r{)}^2$$

To solve for 𝑟, we can divide both sides of the equation by

$$\Rightarrow r=2units$$

Guess the Option and comment below  👇