Central angles and arc measures
Grade 10 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Ari ices a round cookie in three colors. Arcs CD, DF and FC fill circle O in the ratio 2 : 3 : 4. What is the measure of arc DF?
Bo splits a round flower bed in the park into three parts. Arcs CD, DF and FC fill circle O in the ratio 3 : 5 : 4. What is the measure of arc DF?
Jun sews a round rug from three colors of cloth. Arcs CD, DF and FC fill circle O in the ratio 5 : 7 : 6. What is the measure of arc DF?
Kira draws two hands on a clock face. On circle O, ∠COD = (2x + 4)° and major arc CFD = (3x + 6)°. What is the measure of minor arc CD?
Luz cuts one slice from a round pizza. On circle O, ∠COD = (x + 20)° and major arc CFD = (4x + 40)°. What is the measure of minor arc CD?
Milo cuts one wedge from a round cake. On circle O, ∠COD = (3x − 5)° and major arc CFD = (7x + 15)°. What is the measure of minor arc CD?
Pia asks 40 classmates their favorite snack and shows it in a pie chart; 12 pick popcorn. What central angle, in degrees, does that slice of the pie chart get?
Ren asks 20 readers their favorite kind of book; 7 pick mysteries. What central angle, in degrees, does that slice of the pie chart get?
Tala asks 60 students their favorite recess game; 27 pick four square. What central angle, in degrees, does that slice of the pie chart get?
Zee counts how 80 classmates get to school; 12 ride bikes. What central angle, in degrees, does that slice of the pie chart get?
