# What is the radius of the largest circle that can be cut out of the rectangle measuring 10 cm in length and 8 cm in breadth?

(a) 4 cm

(b) 5 cm

(c) 8 cm

(d) 10 cm

**Solution:**

Given, the dimension of the rectangle is 10 cm in length and 8 cm in breadth

We have to find the radius of the largest circle that can be cut out of the rectangle.

From the figure, we observe that the diameter of the largest circle will be equal to the breadth of the rectangle.

So, diameter of circle = 8 cm

Radius = diameter/2

= 8/2

= 4 cm

Therefore, the radius is 4 cm

**✦ Try This: **What will be the radius of the largest circle that can be cut out of the rectangle measuring 20 cm in length and 10 cm in breadth?

Given, the dimension of the rectangle is 20 cm in length and 10 cm in breadth

We have to find the radius of the largest circle that can be cut out of the rectangle.

The diameter of the largest circle will be equal to the breadth of the rectangle

So, diameter of circle = 10 cm

Radius = diameter/2

= 10/2

= 5 cm

Therefore, the radius is 5 cm

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 32**

## What is the radius of the largest circle that can be cut out of the rectangle measuring 10 cm in length and 8 cm in breadth? (a) 4 cm, (b) 5 cm, (c) 8 cm, (d) 10 cm

**Summary:**

The radius of the largest circle that can be cut out of the rectangle measuring 10 cm in length and 8 cm in breadth is 4 cm.

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