# the area of a circle that can be inscribed in a square of 6 cm is

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## The area of the circle that can be inscribed in a square of side 6 cm is

The area of the circle that can be inscribed in a square of side 6 cm is

Byju's Answer Standard X Mathematics

Areas of Different Plane Figures

The area of t... Question

The area of the circle that can be inscribed in a square of side 6 cm is __________.

Open in App Solution

If a circle is inscribed in a square, then the diameter of the circle is equal to the side of the square.

Let the radius of the circle be r cm.

Now,

Diameter of the circle = Side of the square

⇒ 2r = 6 cm ⇒ r = 3 cm

∴ Area of the inscribed circle =πr2=π×32=9π cm2

The area of the circle that can be inscribed in a square of side 6 cm is 9π cm2 .

Suggest Corrections 39 SIMILAR QUESTIONS

**Q.**Question 7

The area of the circle that can be inscribed in a square of side 6 cm is

(A) 36 π c m 2 (B) 18 π c m 2 (C) 12 π c m 2 (D) 9 π c m 2

**Q.**

Find the area of a square that can be inscribed in a circle of radius

8 c m .

**Q.**What is the area of the largest circle in sq. cm that can be inscribed in a square of side 14 cm?

**Q.**What is the area of the circle in sq. cm that can be inscribed in a square of side 6 cm?

**Q.**The area of the circle that can be inscribed in a square of side 10 cm is

(a) 40 π cm2 (b) 30 π cm2 (c) 100 π cm2 (d) 25 π cm2 View More

## The area of the circle that can be inscribed in a square of side 6 cm is

Click here👆to get an answer to your question ✍️ The area of the circle that can be inscribed in a square of side 6 cm is

Question

## The area of the circle that can be inscribed in a square of side 6 cm is

**A**36 πcm

2

**B**18 πcm

2

**C**12 πcm

2

**D**9 πcm

2 Medium Open in App Solution Verified by Toppr

Correct option is D)

Solution−Weknowthatthediameterofthecircleinscribedinasquare

=onesideofthesquare.

∴PQ=onesideofthesquare=6cm.

Sotheradiusr= 2 PQ = 2 6 cm=3cm. ∴Itsarea=πr 2 =π×3 2 cm 2 =9πcm 2 . Ans−Option−D.

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## The area of the circle that can be inscribed in a square of side 6 cm is a. 36π cm², b. 18π cm², c. 12π cm², d. 9π cm²

The area of the circle that can be inscribed in a square of side 6 cm is a. 36π cm², b. 18π cm², c. 12π cm², d. 9π cm² - The space occupied within the boundary/circumference of a circle is called the area of the circle

The area of the circle that can be inscribed in a square of side 6 cm isa. 36π cm² b. 18π cm² c. 12π cm² d. 9π cm²

**Solution:**

Given, side of square = 6 cm

We have to find the area of the circle that can be inscribed in the square.

Diameter of circle = side of square = 6 cm

Radius = 6/2 Radius = 3 cm

Area of circle = πr²

= π(3)² = 9π

Therefore, the area of the circle is 9π square cm.

**✦ Try This:**The area of the square that can be inscribed in a circle of diameter 10 cm is

Given, diameter of circle = 10 cm

We have to find the area of the square that can be inscribed in the circle.

Diameter of circle = diagonal of square.

Area of square = (diagonal)²/2

= (10)²/2 = 100/2 = 50 square cm.

Therefore, the area of the square that can be inscribed in the circle of diameter 10 cm is 50 square cm.

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

**NCERT Exemplar Class 10 Maths Exercise 11.1 Problem 7**

## The area of the circle that can be inscribed in a square of side 6 cm is a. 36π cm², b. 18π cm², c. 12π cm², d. 9π cm²

**Summary:**

The space occupied within the boundary/circumference of a circle is called the area of the circle. The area of the circle that can be inscribed in a square of side 6 cm is 9π square cm

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The area of the square that can be inscribed in a circle of radius 8 cm is a. 256 cm², b. 128 cm², c . . . .

The radius of a circle whose circumference is equal to the sum of the circumferences of the two circ . . . .

The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 . . . .

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