A rectangle is drawn inside a semicircle of radius 5 cm with one of its sides lying along the diameter and its two other corners on the arc. The rectangle is 3 cm tall. Find its area in cm².

Question

Accepted Answer

24. Measuring from the centre of the diameter, an upper corner is at (x, 3) with x² + 3² = 5², so x = 4 cm. The rectangle stretches from −4 to 4, so it is 8 cm wide. Area = 8 × 3 = 24 cm².

A rectangle is drawn inside a semicircle of radius 5 cm with one of its sides lying along the diameter and its two other corners on the arc. The rectangle is 3 cm tall. Find its area in $cm^{2}$ .

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More Areas & Volumes practice

A rectangle is drawn inside a semicircle of radius 5 cm with one of its sides lying along the diameter and its two other corners on the arc. The rectangle is 3 cm tall. Find its area in cm2.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A rectangle is drawn inside a semicircle of radius 5 cm with one of its sides lying along the diameter and its two other corners on the arc. The rectangle is 3 cm tall. Find its area in $cm^{2}$ .