Radius of Circle Examples

Example 1: Calculate the radius of the circle whose diameter is 18 cm.

Solution:

Given,

Diameter of the circle = d = 18 cm

Radius of the circle by using diameter,

Radius = (diameter ⁄ 2) = 18 ⁄ 2 cm = 9 cm

Hence, the radius of circle is 9 cm.

Example 2: Calculate the circle radius when circumference is 14 cm.

Solution:

Radius of a circle with a circumference of 14 cm can be calculated by using the formula,

Radius = Circumference / 2π

r = C / 2π

r = 14 / 2π {value of π = 22/7}

r = (14 × 7) / (2 × 22)

r = 98 / 44

r = 2.22 cm

Therefore, the radius of the given circle is 2.22 cm

Example 3: Find the area and the circumference of a circle whose radius is 12 cm. (Take the value of π = 3.14)

Solution:

Given,

Radius = 12 cm

Area of Circle = π r²= 3.14 × (12)²

A = 452.6 cm²

Now Circumference of circle,

C = 2πr

C = 2 × 3.14 × 12

Circumference = 75.36 cm

Therefore the area of circle is 452.6 cm² and circumference of circle is 75.36 cm

Example 4: Find the diameter of a circle, given that area of a circle, is equal to twice its circumference.

Given,

Area of Circle = 2 × Circumference

We Know,

Area of the circle = π r²

Circumference = 2πr

Therefore,

π r²= 2×2×π×r

r = 4

Therefore,

diameter = 2 × radius

diameter = 2 × 4 = 8 units

Radius of Circle

Radius of Circle: The radius of a circle is the distance from the circle’s center to any point on its circumference. It is commonly represented by ‘R’ or ‘r’. The radius is crucial in nearly all circle-related formulas, as the area and circumference of a circle are also calculated using the radius.

In this article, we are going to learn about the Radius of the Circle in detail, including its Formula, Equation, and How to Find it with the help of Examples.

Table of Content

What is the Radius of Circle?

Radius of a Circle Definition

Diameter of Circle
Radius, Diameter and Chord

Secant to Circle
Tangent to Circle
Non-Intersecting Lines

Radius Formula
How to Find Radius of Circle?
Radius of Sphere
Radius of Circle Equation
Chord of Circle Theorems
Radius of Circle Examples
Practice Questions on Radius of Circle

Radius of Circle Examples

Radius of Circle

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