Find the area of a circle with a radius of 8. Either enter an exact answer in terms of pie or use 3.14 for pie and enter your answer as a decimal

64π

Step-by-step explanation:

The area of a circle can be found using the formula:

A=πr^2

The radius is 8, so we can plug that into the equation.

A=π(8)^2

Simplify.

A=64π

Or, as a decimal:

A=64*3.14

A=200.96

y + 11 = (1/4)(x + 16)

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west