Class X Session 2023-24 Question 14

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 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) Ο€ units 
(c) 4 units 
(d) 7 units

Explanation : 

This question is really easy to answer.

The perimeter of a circle (circumference) is given by 2πœ‹π‘Ÿ where π‘Ÿ is the radius.

The area of a circle is given by πœ‹π‘Ÿ^2, where π‘Ÿ is the radius

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

\[ given \; that\; {2Ο€r \; = 2Ο€(r)^2} \]

To solve for π‘Ÿ, we can divide both sides of the equation by

\[ \Rightarrow  {r} \; = 2 \; units \]


Guess the Option and comment below  πŸ‘‡

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