Exploring Arc Length and Sector Area

What is the total measure in degrees around a circle?

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

How do you calculate the circumference of a circle?

• 2 times pi times diameter

• Pi times radius squared

• 2 times pi times radius

• Pi times diameter

What fraction represents the ratio of an arc measuring 60 degrees in a circle?

• 1/6

• 1/2

• 1/4

• 1/8

How can you simplify the expression for an arc length with a radius of 4 feet and an arc measure of 75 degrees?

• 5/3 pi feet

• 4 pi feet

• 5 pi feet

• 2 pi feet

Which tool did the teacher recommend for simplifying expressions and calculating arc length and sector area?

• A graphing calculator

• A slide rule

• A standard calculator

• The DESMOS scientific calculator

What is the formula for the area of a circle?

• Pi times radius

• 2 times pi times radius

• Pi times radius squared

• 2 times pi times radius squared

How do you find the area of a sector?

• Multiply the circumference by the ratio of the arc's measure to 360

• Divide the circumference by the ratio of the arc's measure to 360

• Divide the area of the circle by the ratio of the arc's measure to 360

• Multiply the area of the circle by the ratio of the arc's measure to 360

What is the area of a sector with an arc measuring 174 degrees in a circle of radius 13 meters?

• 5 pi square meters

• 38 pi square inches

• Cannot be determined from the given information

• 5/3 pi square feet

What is the simplified form of the sector area with a radius of 10 and an arc measure of 18 degrees?

• 10 pi square units

• 5 pi square units

• 18 pi square units

• 1/10 pi square units

What is the approximate area of a sector with a radius of 7 and an arc measure of 190 degrees, using 3.14 for pi?

• 144 pi square inches

• 81.20 square units

• 38 pi square inches

• 5/3 pi square feet