2021 Spring Performance Final Unit 6 Practice

What is the diameter?

• 8

• 16

• 10

• 4

Answer explanation

Remember that the Diameter stretches all across the center point touching both sides of the circle. The Diameter is a double radius.

What is the radius?

• 18

• 72

• 38

• 14

Answer explanation

Remember that the radius goes from the center point to a point on the circle. it takes two radius's to make a diameter.

Find the arc length of the bolded arc. Give your answer in terms of π.

• (65/12)π cm

• 17.02 cm

• (845/24)π cm

• 26π cm

Answer explanation

$Arc\ Length=\frac{2\pi r\theta}{360}$ Remember to use your arc length formula where 75 degress is your theta, and 13 is your r.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Answer explanation

Use $Sector\ Area=\frac{\pi r^2\theta}{360}$ where the radius is 6 and the theta is 100. Remember that theta is always in degrees!

What is the area of the shaded sector?

• 339.12 in²

• 113.04 in²

• 339.29 in²

• None of the above

Answer explanation

$Sector\ Area\ =\ \frac{\pi r^2\theta}{360}$ where 270 is the theta and 12 is the radius.