Gabriel inscribed quadrilateral ABCD in a circle, as shown below.
Arcs AB and BC both measure 85° and arcs CD and DA both measure 95°. If
line segment AB is 5 inches long and line segment length CD is 12 inches long,
what is the area of the circle to the nearest whole square inch?
A. 133 inches2
B. 452 inches2
C. 531 inches2
D. 907 inches2
MA.912.G.6.5: Solve real-world problems using measures of circumference, arc length,
and areas of circles and sectors.
Jeremy walked along the edge of a circular pond with an 8 foot diameter, as
shown in the image below. What distance along the edge of the pond did
Jeremy walk? (Round to the nearest foot.)
A.
B.
C.
D.
2 feet
4 feet
5 feet
10 feet
MA.912.G.6.5: Solve real-world problems using measures of circumference, arc length,
and areas of circles and sectors.
Sam has a circular dining room table, with a 5 foot diameter, that normally seats 5
people. The table expands to seat 10 people by separating the table in the middle of
the circle and inserting a 5 foot by 3 foot leaf in the middle. The diagram below
shows the expanded table.
Sam needs a table cloth in the shape of the elongated table. The smallest table cloth
he can buy to cover the elongated table is one that covers which of the following?
A. 25 square feet.
B. 35 square feet.
C. 65 square feet.
D. 75 square feet.
MA.912.G.6.5: Solve real-world problems using measures of circumference, arc length,
and areas of circles and sectors.
Shawn bought a large pizza. The pizza was delivered in a square box with length 18 inches.
The pizza fit perfectly in the box, as shown in the image below.
If the pizza is cut into 8 slices, what is the area of each slice of pizza to the nearest whole
square inch?
A.
B.
C.
D.
32 inches2
127 inches2
254 inches2
1017 inches2
MA.912.G.6.5: Solve real-world problems using measures of circumference, arc length,
and areas of circles and sectors.
Mario bought a pecan pie to bring to a small party. The pie was perfectly
placed in a 9 inch square box, as shown in the image below.
If the pie is cut into 6 slices, what is the area of each slice to the nearest
whole square inch?
A. 11 inches2
B. 42 inches2
C. 64 inches2
D. 254 inches2
MA.912.G.6.5: Solve real-world problems using measures of circumference, arc length,
and areas of circles and sectors.
Aimee wants to make a heart shaped cake, but she does not have a heart shaped baking
pan. She decided to bake half of the batter in an 8 inch square pan and the other half in an
8 inch circular pan. Then she will cut the circular cake in half and place it on two consecutive
sides of the square cake to make a heart, as shown in the diagram below.
A quarter cup of icing covers approximately 23 inches2 of cake. What is the least amount of
icing Aimee needs to make to cover just the top of the heart shaped cake?
A.
cup
B. 1 cups
C. 2 cups
D. 4 cups
MA.912.G.6.5: Solve real-world problems using measures of circumference, arc length,
and areas of circles and sectors.
MA.912.G.6.5: Solve real-world problems using measures of circumference, arc length,
and areas of circles and sectors.
Elizabeth inscribed quadrilateral ABCD in a circle, as shown below.
Arcs AB and DC both measure 118° and arcs AD and BC both measure 62°.If
line segment AB is 8 inches and line segment length AD is 6 inches, what is
the area of the circle to the nearest whole square inch?
A.
B.
C.
D.
79 inches2
113 inches2
201 inches2
314 inches2
MA.912.G.6.5: Solve real-world problems using measures of circumference, arc length,
and areas of circles and sectors.
Martinique's garden looks like two intersecting circles. One circle has a radius of 6
feet and the other has a radius of 4 feet. The diagram below shows the garden with
a path around the edge.
Martinique walks along the path to admire her garden daily. If she does one
rotation along the path, approximately how many feet has she walked?
A.
B.
C.
D.
15 feet
47 feet
63 feet
124 feet
MA.912.G.6.5: Solve real-world problems using measures of circumference, arc length,
and areas of circles and sectors.