A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# 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) π units (C) 4 units (D) 7 units

**Solution:**

Given that the perimeter and area of the circle are numerically equal.

Let's assume a circle of radius 'r'.

Circumference of the circle = 2πr

Area of circle = πr^{2}

The circumference of the circle and the area of the circle are equal.

Thus, we have 2πr = πr^{2}

2 = r

Therefore, the radius of the circle is 2 units. Hence, the correct answer is A.

**☛ Check: **NCERT Solutions for Class 10 Maths Chapter 12

**Video Solution:**

## 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) π units (C) 4 units (D) 7 units

NCERT Solutions Class 10 Maths Chapter 12 Exercise 12.1 Question 5

**Summary:**

The radius of the circle is 2 units if the perimeter and the area of a circle are numerically equal.

**☛ Related Questions:**

- The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
- The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.
- Fig. 12.3 depicts an archery target marked with its five scoring regions from the centre outwards as Gold, Red, Blue, Black and White. The diameter of the region representing Gold score is 21 cm and each of the other bands is 10.5 cm wide. Find the area of each of the five scoring regions.
- The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?

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