the area of circle that can be inscribed in a square of side 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 7The 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
A36 πcm2
B18 πcm2
C12 πcm2
D9 πcm2 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
a. 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 isGiven, 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 12NCERT Exemplar Class 10 Maths Exercise 11.1 Problem 7The 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 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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