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in a circle of radius 35cm, a chord subtends a 120 degree at the centre. find the angle of the corresponding minor segment and major segment |
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Answer» Step-by-step EXPLANATION:In any CIRCLE, the length of an arc (l) is proportional to the ANGLE (θ) it creates (subtends) at the centre.For a circle of radius r, the CIRCUMFERENCE will be 2π units.Thus,the length of the arccircumference=θ360∘,so ∴ll2πr=θ360∘.=θ360∘×2πr=θ180∘×πr=r×π180∘×θ (ALTERNATE formulations) |
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