The area of a circle is numerically equal to its circumference. Find the diameter of the circle. Option 1: 2 unit Option 2: 4 unit Option 3: 1 unit Option 4: 5 unit

Answer: 4 unit. Solution: Area = Circumference r^2 = 2 r r = 2 Diameter = 2r = 4 units.

Geometry

Circles

Easy

The area of a circle is numerically equal to its circumference. Find the diameter of the circle.

2 unit

4 unit

1 unit

5 unit

✅ Correct Option: 2

Area = Circumference

$\pi r^2 = 2\pi r$

$r = 2$

Diameter = $2r = 4$ units.

2025: 29 May Shift 1

Find the value of x in the adjoining figure, if it is given that PR and QS are diameters of the circle.

2022: 8 Aug Shift 1

The diameter of a circle whose area is numerically 110 more than its circumference is

2025: 13 May Shift 1

Four circles of equal radius are drawn with centers, A, B, C and D such that ABCD is a square of side 14 cm and the circles touch externally as in the figure. The area of the shaded region bounded by the 4 circles is: (Take $\pi = \frac{22}{7}$ )

2023: 28 May Shift 1

Find the length of the arc of a circle with radius 5 cm, if its central angle is $70^\circ$ .

2023: 19 June Shift 1

A, B, C, are three points on the circumference of a circle and if $AB = AC = 5\sqrt{2}$ , angle $BAC = 90$ degrees then radius of the circle is __________.

2023: 7 June Shift 1

The area of a circle is 154 cm $^2$ . Find the circumference of the circle. (Take $\pi = \frac{22}{7}$ )

The area of a circle is numerically equal to its circumference. Find the diameter of the circle.

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)