Sector Area
Arc Length
Applications of Arcs and Sectors
Who run the world? GIRLS!! Happy Women's Month
Surprise!!
100
Find the area of a 75 degree sector from a circle with a radius of 16 cm.
160/3 pi
100
With a central angle of 30 degrees, a radius of 8, the arc length would be...
4/3 pi
100
The radius of a standard car tire is 27.94 cm. How far does a car go in one revolution of the tire? Round to the nearest hundredth.
175.55 cm
100
What women's college basketball team has the most NCAA championships?
University of Connecticut Huskies
100
What is the arc length from A to B?
3pi
200
A lawn sprinkler located at the corner of a yard is set to rotate through 90° and project water out 30 feet. What area of the lawn is watered by the sprinkler?
225 pi
200
Find the MAJOR arc length.
13/3 pi
200
The diameter of a tire is 35in. If the tire travels 5280 ft in one mile, how many revolutions did the tire make?
306
200
What 2 cities/teams will the WNBA be adding in the 2026 season?
Toronto Tempo and Portland Fire
200
Solve for x.
21
300
Find the angle (to the nearest degree) of an arc whose sector area is 22.9 ft2 and a 5 ft radius.
105o
300
The length of the darkened arc is 80 units and the radius is 32 units. Find the measure of theta to the nearest degree.
143o
300
The radius of a carousel is 8 meters. From the start, you are half way around the carousel. How far did you travel to the nearest hundredth of a meter?
25.13 m
300
What woman has scored the most goals during the Olympic games in history?
Brazilian Cristiane Rozeira de Souza Silva with 14 goals across 4 tournaments (2004-2016)
300
The radar sent out by an airplane reaches a distance of 120 km and covers and angle of 150 degrees. Calculate the area covered by the beam.
6000pi km2
400
Find the radius of the circle to the nearest hundredth.
3.42 m
400
Find the angle (to the nearest degree) of an arc whose length is 3.93 ft and has a 5-ft radius.
45o
400
Nikita drew a figure as shown above, where a circle with a radius of 7 cm is divided into 16 equal parts. She then shaded some of the parts. Find the total area that Nikita shaded. Write your answer in terms of pi.
49/2 pi cm2
400
Who was the first black female engineer, a true Hidden Figure, employed by NASA?
Mary Jackson
400
The sector area of 1 piece is 10 ft2. What is the radius of the circle, rounded to the nearest whole number?
4 ft
500
Given the arc length above, what would be the sector area to the nearest hundredth cm.
30 cm2
500
Find the length of arc DB. Leave your answer in terms of π(pi).
35/3 pi
500
The diameter of a tire is 35in. If the tire travels 5280 ft in one mile, about how many revolutions did the tire make?
576.23 or 576 revolutions
500
Who is the wealthiest self-made woman in the world?
Rafaela Aponte-Diamant
500
The measure of angle ABC
73o