## Someone Please Help Me!!. If the radius is 14 cm and the area of sector of the circle are 18.48 cm2, calculate the angle at the centre of th

Question

Someone Please Help Me!!. If the radius is 14 cm and the area of sector of the circle are 18.48 cm2, calculate the angle at the centre of the circle.​

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6 months 2021-09-01T15:44:05+00:00 1 Answers 0 views 0

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Explanation:

If the radius is r = 14, then the area of the full circle is

A = pi*r^2

A = 3.14*14^2

A = 615.44

The area of the full circle is roughly 615.44 cm^2

However, the pizza slice area is only 18.48 cm^2

Divide the two values: (18.48)/(615.44) = 0.030027

The pizza slice is roughly 3% of the full circle.

Multiply that decimal result with 360 to get the final answer

0.030027*360 = 10.80972

That rounds to approximately 11 degrees

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Here’s another example:

Let’s say the full circle area was 100 cm^2 and the pizza slice was 25 cm^2. We can see that 25/100 = 0.25 = 25% of the full area is the pizza slice

25% of 360 = 0.25*360 = 90 degrees would be the central angle, which is basically what we expect when we cut the circle into 4 equal slices.