A circle has a diameter of
18
m. Find the area of the sector
whose central angle is 135°

Step-by-step explanation:

When given the central angle in degrees, the formula for sector area is:

where θ is the central angle and r is the radius.

We are given the diameter, so we must calculate the radius. The radius is half the diameter.

The diameter is 18 meters.

Now we know all the variables:

Substitute the values into the formula.

Solve the exponent first.

Solve the fraction.

Multiply the two rational numbers.

The answer can be left like this, in terms of pi, or can be multiplied.

The area is 243/8 π, 95.3775, or 95.42587685 square meters.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

are you an artist's daughter? cuz dang you a fine piece of art, girl.