Point B is the center of the circle shown, and the length of arc AC is 8π. What is the area of the circle?

Step-by-step explanation:

The formula for arc length is:

Where Θ is measured in degrees.

We know that the arc length is 8π when the degree is 80. So, substitute 8π for A and 80 for Θ:

Divide both sides by 2π:

Simplify the fraction:

Multiply both sides by 9/2:

So, the radius is 18.

Now, we can find the area of the circle. The formula for the area of a circle is:

Substitute 18 into r:

Simplify:

And we're done!

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1