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kobusy [5.1K]
3 years ago
9

A triangle OAB is formed where O is the centre of a cricle of radius 12cm, and A and B are endpoints of a 15cm chord. find the a

ngle subtended at the centre of the circle, in degrees and minutes

Mathematics
1 answer:
suter [353]3 years ago
3 0
We are asked to solve for the angle AOB and we are given with the following values:
radius = 12 cm
length of AB = 15 cm

We can solve for angle AOC such as shown below:
sin AOC = opposite/hypotenuse
sin AOC = 7.5/12
∠AOC =38.68°

The angle subtended at the center of the circle is just twice of ∠AOC, then we have:
∠AOB = 38.68° x 2
∠AOB = 77.36°

The answer is 77° 21' 51.75".

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