If the angular measure of an arc is 36° and its length is 10 cm, then what is the circumference of the circle? 036 la o =10 (A) 100 cm (B) 36 cm (C) 360 cm (D) 10 cm
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Answer:
The correct option is (A) 100 cm
Explanation:
Given :-
Measure of angle = 36°
Arc length = 10 cm
∴ Arc length = circumference of circle × measure of angle / 360°
Rearranging for circumference,
Circumference of circle = (arc length × 360°) / measure of angle
Circumference of circle = (10 × 360°) / 36°
Circumference of circle = 3600°/ 36°
Circumference of circle = 100 cm
Hence, circumference of circle is 100 cm.
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