A rectangle with one side of length 10 cm is inscribed in a circle of

1.	A rectangle with one side of length 10 cm is inscribed in a circle of diameter 26cm. Find area of the rectangle1. 480 cm22. 360 cm23. 240 cm24. 420 cm2
Answer» Correct Answer - Option 3 : 240 cm² Given : One side of rectangle = 10 cm Diameter of circle = 26 cm Formula used: Diagonal = √(L² + B²) Area = Length × Breadth Concept used: When rectangle is inscribed in a circle Diameter of circle = Diagonal of rectangle Calculation: According to the question 26²= L² + 10² ⇒ L² = 676 – 100 ⇒ L² = 576 ⇒ L = 24 cm Area = 10 × 24 = 240 cm² ∴ The area of rectangle is 240 cm²

A rectangle with one side of length 10 cm is inscribed in a circle of diameter 26cm. Find area of the rectangle1. 480 cm22. 360 cm23. 240 cm24. 420 cm2

Answer» Correct Answer - Option 3 : 240 cm²

Given :

One side of rectangle = 10 cm

Diameter of circle = 26 cm

Formula used:

Diagonal = √(L² + B²)

Area = Length × Breadth

Concept used:

When rectangle is inscribed in a circle

Diameter of circle = Diagonal of rectangle

Calculation:

According to the question

26²= L² + 10²

⇒ L² = 676 – 100

⇒ L² = 576

⇒ L = 24 cm

Area = 10 × 24 = 240 cm²

∴ The area of rectangle is 240 cm²

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A rectangle with one side of length 10 cm is inscribed in a circle of diameter 26cm. Find area of the rectangle1. 480 cm22. 360 cm23. 240 cm24. 420 cm2

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