Use this theorem: in a circle, the measure of an angle formed by two chords that intersect inside the circle is half the sum of the arcs formed by the chords.
In this case the sum of the arcs formed by the chords is 67° + 74° = 141 °, then the half is 141° / 2 = 70.5°.
Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.
<h3>How to find the area of the composite figure</h3>
The area of the <em>composite</em> figure is the sum of two areas, the area of a semicircle and the area of a <em>right</em> triangle. The formula for the area of the composite figure is described below:
A = (1/2) · AB · BC + (π/8) · BC² (1)
If we know that AB = 6 cm and BC = 6 cm, then the area of the composite figure is:
A = (1/2) · (6 cm)² + (π/8) · (6 cm)²
A ≈ 32.137 cm²
Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.
