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# Is the area of the largest circle that can be drawn inside a rectangle of length a cm and breadth b cm (a > b) is π b² cm²? Why

**Solution:**

From the question, the figure is

Here the diameter of the largest circle which is inscribed in the __rectangle__ = b cm

So the radius = diameter/2 = b/2 cm

The formula to find the __area of circle__ is

Area = πr²

Area = π(b/2)²

So we get

Area = π b²/4 cm²

Therefore, the statement is false.

**✦ Try This:** Find the area and perimeter of rectangle with in length is 11 cm and breadth is 8 cm

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

**NCERT Exemplar Class 10 Maths Exercise 11.2 Problem 11**

## Is the area of the largest circle that can be drawn inside a rectangle of length a cm and breadth b cm (a > b) is π b² cm²? Why

**Summary:**

The statement “Is the area of the largest circle that can be drawn inside a rectangle of length a cm and breadth b cm (a > b) is π b² cm²” is false

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