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OleMash [197]
3 years ago
14

Find the value of x and the value of y.

Mathematics
1 answer:
Zina [86]3 years ago
6 0
The answer is B. x = 65, y = 10.
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A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
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Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

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Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

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\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

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3 years ago
What is the approximate area of the shaded sector in the circle shown below
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