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.​

 approximately 11 degrees

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

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.

5104.38 inches

step-by-step explanation: