What will be the area of the largest square that can be cut out of a circle of radius 10 cm?
(a) 100 cm²
(b) 200 cm²
(c) 300 cm²
(d) 400cm²
Solution:
Given, radius of circle is 10 cm
We have to find the area of the largest square that can be cut out of the circle.
The diagonal of the largest square will be equal to the diameter of the circle.
Let the side of the square be b.
Area of square = (side)² = b²
Considering right-angled triangle DAB,
By using Pythagoras theorem,
BD² = AD² + AB²
(20)² = b² + b²
2b² = 400
b² = 200
Area of square = 200 cm²
Therefore, area of the largest square is 200 cm²
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☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 31
What will be the area of the largest square that can be cut out of a circle of radius 10 cm? (a) 100 cm², (b) 200 cm², (c) 300 cm², (d) 400cm²
Summary:
The area of the largest square that can be cut out of a circle of radius 10 cm will be 200 cm².
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