To look for the area of a sector of a circle, the following formula is used:

Area = ( n / 360 ) * pi * r^2

Where: n = measure of arc in degrees
pi = 3.1416
r = radius

Since we are already given all of the needed parts of the formula, direct substitution is done, as shown below:

Area = ( n / 360 ) * pi * r^2
Area = ( 45 / 360 ) *3.1416 * (8)^2
Area = 25.133 in^2

Therefore, the area of the sector of the circle is 25.133 sq. in.

5 0

3 years ago

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Which equation does the graph below represent? A coordinate grid is shown. The x axis values are from negative 5 to positive 5 i

Irina18 [472]

Answer:

y = 4x

Step-by-step explanation:

Points on the graph:

(-4, -16), (0,0), (4, 16)

Slope intercept form:

y = mx + b

Working out slope using two of the points:

m= (y2-y1)/(x2-x1)
m= (0- (-16))/(0- (-4))
m= 16/4
m= 4

The equation is now:

y = 4x + b

Using one of the points to find b:

-16 = 4*(-4) +b
-16 = -16 + b
b = 0

So the final form is:

y = 4x

Correct answer choice is the last one

5 0

4 years ago