Final Part 1 (retake for circles)

Final Part 1 (retake for circles)

Name the parts of a circle

Multiple Choice

What is DG?

• Secant

• Radius

• Chord

• Tangent

Multiple Choice

What is BJ?

• Secant

• Radius

• Chord

• Tangent

Multiple Choice

What is H?

• Point of Tangency

• Radius

• Circle

• Tangent

Multiple Choice

What is BD?

• Chord

• Radius

• Secant

• Tangent

Multiple Choice

What is BD?

• Chord

• Radius

• Secant

• Tangent

Write this Down

• Circumference =  $2\pi r$   

• Area = $\pi r^2$  

• Arc length =  $\frac{\theta}{360\degree}2\pi r$  

• Area of a sector =  $\frac{\theta}{360\degree}\pi r^2$  

Multiple Choice

You stop for lunch at a local pizza shop where each pizza is cut into 8 slices.  Would your hunger be better satisfied with one slice from a 16 inch pizza or two slices from a 12 inch pizza

• One Slice
• Two Slices

Multiple Choice

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.

Multiple Choice

Find the area of the sector, rounding your answer to 1d.p.

• 209.4cm²

• 209.3cm²

• 104.7cm²

• 104.1cm²

Multiple Choice

Find the area of the sector, rounding your answer to 1d.p.

• 176.7cm²

• 23.6cm²

• 156.7cm²

• 88.4cm²

Multiple Choice

Find the area of the sector, rounding your answer to 1d.p.

• 176.7cm²

• 23.6cm²

• 156.7cm²

• 88.4cm²

Multiple Choice

Find the length of the arc to 2dp

• 9.42cm

• 150.80cm

• 4.71cm

• 18.85cm

Multiple Choice

Find the arc length. Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

Multiple Choice

Find the length of the arc to 2dp

• 31.42cm

• 15.71cm

• 282.74cm

• 23.56cm

Multiple Choice

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

Multiple Choice

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

Multiple Choice

A little boy stands on a carousel and rotates around the ride 4 times. If the distance between the little boy and the center of the carousel is 6 feet, then how many feet did the little boy travel? Use 3.14 for π.

• 75.36 ft

• 452.16 ft

• 37.68 ft

• 150.72 ft

Write this down:

•  $\frac{arc\ AB\ +\ arc\ CD}{2}$  when the secants cross INSIDE a circle

•  $\frac{arc\ CD\ -\ arc\ AB}{2}$  when the secants intersect OUTSIDE a circle

Multiple Choice

If arc VY = 132° and ∠ YUV = 41° , what is the measure of arc XV?

• 35°

• 40°

• 45°

• 50°

Multiple Choice

If major arc AC = 236°, what is the measure of ∠ ABC?

• 56°

• 60°

• 64°

• 68°

Multiple Choice

If minor arc AC = 96° , what is the measure of ∠ ABC?

• 53°

• 64°

• 72°

• 84°

Multiple Choice

∠ ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 28° , minor arc AB = 112° , and minor arc DE = 112° , what is the measure of ∠ ACE?

• 14°

• 28°

• 40°

• 54°

Multiple Choice

Determine the measure of ∠NOP

• 15°

• 20°

• 40°

• 50°

Multiple Choice

Determine the value of x using the information in the diagram.

• 115º

• 100º

• 70º

• 30º

Multiple Choice

Determine the value of x using the information in the diagram.

• 280º

• 174º

• 140º

• 68º

Multiple Choice

Determine the value of x using the information in the diagram.

• 190º

• 130º

• 120º

• 70º

Multiple Choice

Determine the value of x using the information in the diagram.

• 190º

• 130º

• 120º

• 70º