The area of the largest square that can be inscribed in a circle of radius 5cm isChoices:- 12.5cm^2 25 cm^2 50cm^2 100cm^2
Question
The area of the largest square that can be inscribed in a circle of radius 5cm is
Choices:
- 12.5 cm²
- 25 cm²
- 50 cm²
- 100 cm²
Solution
The area of a square inscribed in a circle can be found using the formula A = 2*r^2, where r is the radius of the circle.
Step 1: Identify the radius of the circle. In this case, the radius is 5 cm.
Step 2: Substitute the radius into the formula. A = 2*(5 cm)^2
Step 3: Calculate the area. A = 2*25 cm^2 = 50 cm^2
So, the area of the largest square that can be inscribed in a circle of radius 5 cm is 50 cm^2.
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