A triangle is drawn inside a semicircle of diameter 28 cm: its base is the whole diameter and its apex is the midpoint of the arc. Find the area of the region inside the semicircle but outside the triangle, in cm². Take π = 22/7.

Question

Accepted Answer

112. Radius = 14 cm, so the semicircle's area = ½ × (22/7) × 196 = 308 cm². The apex is the midpoint of the arc, so the triangle's height equals the radius, 14 cm, and its area = ½ × 28 × 14 = 196 cm². Shaded = 308 − 196 = 112 cm².

A triangle is drawn inside a semicircle of diameter 28 cm: its base is the whole diameter and its apex is the midpoint of the arc. Find the area of the region inside the semicircle but outside the triangle, in $cm^{2}$ . Take π = 22/7.

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More Areas & Volumes practice

A triangle is drawn inside a semicircle of diameter 28 cm: its base is the whole diameter and its apex is the midpoint of the arc. Find the area of the region inside the semicircle but outside the triangle, in cm2. Take π = 22/7.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A triangle is drawn inside a semicircle of diameter 28 cm: its base is the whole diameter and its apex is the midpoint of the arc. Find the area of the region inside the semicircle but outside the triangle, in $cm^{2}$ . Take π = 22/7.