10.1-10.5 Practice (Graded)

Front

What is the value of x if x + 20 = 100?

Back

x = 80

Front

What is the formula for the length of an arc in a circle?

Back

Length of arc = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius.

Front

If the radius of a circle is 5 miles, what is the circumference?

Back

Circumference = 2πr = 2 * π * 5 = 10π ≈ 31.4 miles.

Front

What is the value of x if 3x = 24?

Back

x = 8

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 * Radius.

Front

If a circle has a diameter of 10 miles, what is its radius?

Back

Radius = Diameter / 2 = 10 / 2 = 5 miles.

Front

What is the value of x if x - 15 = 25?

Back

x = 40

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Front

If the area of a circle is 50π square miles, what is the radius?

Back

Radius = √(Area/π) = √(50) ≈ 7.07 miles.

Front

What is the value of x if 2x + 10 = 50?

Back

x = 20