Lesson 10.1 Arcs and sectors day 2

Lesson 10.1 Arcs and Sectors day 2

By CHRISTOPHER CAVIN

Multiple Choice

How many radians in a circle?

• $$\pi$$

• $$2\pi$$

• $$180$$

• $$360$$

​What is the area of the shaded sector?

Multiple Choice

What is the area, in square units, of the shaded sector?

• $$\frac{165\pi}{3}$$

• $$\frac{165\pi}{9}$$

• $$\frac{33\pi}{8}$$

• $$9\pi$$

• $$\frac{9\pi}{2}$$

Math Response

What is the exact area, in square units, of the shaded sector?

Type answer here

Correct Answer: \frac{295\pi}{1}

Deg^°

Rad

​another example: Find the area of the segment of the circle.

Math Response

What is the shaded area in square feet? If necessary, round to the tenths place.

Type answer here

Correct Answer: 28.5

Deg^°

Rad

Math Response

What is the area, in square meters, of the shaded part? If necessary, round to the tenths place.

Type answer here

Correct Answer: 24.1

Deg^°

Rad

​What is the area and perimeter of sector QNR? Round to the nearest tenth.

Open Ended

Luke was asked to compute the length of Arc AB. What is Luke's error?

Open Ended

On the earth, 7 degrees of latitude is how many kilometers? how many miles? (Assume the radius of the earth is 6400 km, or 4000 mi, approximately.)