kalamraf kalamraf

17-04-2018
Mathematics

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A square of area 24 cm2 is inscribed into a semi-circle. What is the area of the semi-circle?

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Аноним Аноним

17-04-2018

Area of square = 24cm²
⇒ Length = √24

Find the diagonal of half the square:
a² + b² = c²
c² = (0.5√24)² + (√24)²
c² = 6 + 24
c² = 30
c = √30

The diagonal of half of the square is the radius of the circle.
⇒ radius = √30

Area of the semicircle = 1/2πr² = 1/2π(√30)² =15π

Answer: 15π²

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