Geom102,111,112Circles CircumAreaArcSector.notebook ...€¦ · HW59 102,111,112 WS Please put your name and class period at the top of the homework. Also include the homework number.

Geom102,111,112Circles CircumAreaArcSector.notebook April 03, 2018

Geometry

P52 102/111/112 CirclesCircumference/Area/Arc/Sectors

Circumference is the Distance around a Circle



two major arcs two minor arcs

two semicircles a pair of adjacent arcs

an acute central angle an obtuse central angle

Arc Length


The area of a circle is the product of ∏ and the square of the radius


Segment of a CircleA part of a circle bounded by an arc and the segment joining its endpoints is a segment of a circle. To find the area of a segment...


Segment of a Circle

Round answers to the nearest tenth.

Other Stuff...Round answers to the nearest tenth.


HW59 102,111,112 WS

Please put your name and class period at the top ofthe homework. Also include the homework number.


The dimensions of a car tire are shown. To the

nearest foot, how far does the tire travel when

it makes 15 revolutions?

The curves at the ends of the track shown are 180° arcs of circles. The radius of the arc for a runner on thered path shown is 36.8 meters. About how far does this runner travel to go once around the track? Roundto the nearest tenth of a meter.


A rectangular wall has an entrance cut into it. Youwant to paint the wall. To the nearest square foot,what is the area of the region you need to paint?

a. About 430,000 people live in a 5mile radius of a city’s town hall. Find the population density in people per square mile.

b. A region with a 3mile radius has a population density of about 6195 people per square mile. Find the number of people who live in the region.



Find the measure of each arc.

a. b. c.


Find each indicated measure.

a. circumference of a circle with a radius of 9 centimeters

b. radius of a circle with a circumference of 26 meters


a. arc length of b. circumference of ⊙Z c.



a. area of a circle with a radius of 2.5 centimeters

b. diameter of a circle with an area of 113.1 square centimeters

Find the areas of the sectors formed by ∠UTV.


a. Convert 45° to radians. b. Convert radians to degrees.

Tell whether the red arcs are congruent. Explain why or why not.


A recent survey asked teenagers whether

they would rather meet a famous musician,

athlete, actor, inventor, or other person. The

circle graph shows the results. Find the

indicated arc measures.

a. b.

c. d.

wheel


Geom102,111,112Circles CircumAreaArcSector.notebook ...€¦ · HW59 102,111,112 WS Please put your name and class period at the top of the homework. Also include the homework number.

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