Area of a Circle and a Sector Assignment Questions with
Verified Solutions.
Which statements are true regarding the area of circles and sectors? Check all that
apply. - ANS a. The area of a circle depends on the length of the radius.
B. area of a sector depends on the ratio of the central angle to the entire circle.
d. The area of the entire circle can be used to find the area of a sector.
e. The area of a sector can be used to find the area of a circle.
Which statement is true regarding the two shaded sectors of circle O? Explain. - ANS c.
The area of sector AOB is equal to the area of sector DOC because the central angle
measures are equal.
The canopy of a parachute is a semicircle with a radius of 13 feet. A company that is
making parachutes for a Fourth of July celebration wants each parachute to be made
from equal parts of red, white, and blue fabric.
Approximately how much fabric of each color will be needed to make a single parachute
canopy? - ANS b. 88.5 ft²
Timothy built a base for a circular tabletop. The base can support a tabletop with a
radius of at least 6 inches, but not more than 23 inches.
What is the smallest possible area of the tabletop that will fit on Timothy's table base?
Round the answer to the nearest whole square inch. ----
What is the largest possible area of the tabletop that will fit on Timothy's table base?
Round the answer to the nearest whole square inch. ---- - ANS 113 square inches
1,662 square inches
What is the ratio of the sector area to the area of the entire circle? - ANS a. 1/5
If the radius is doubled, what is the effect on the area of sector XYZ? - ANS d. The
sector area will be 4 times greater.
What is the approximate circumference of the circle?
What is the height of the parallelogram?
What would be the approximate length of the parallelogram if the base were completely
straight?
What would make the estimation of the circle's area more precise?
What is the area of the circle used to create the parallelogram-like shape to the nearest
tenth of a square unit? - ANS 18.8 units
3 units
9.4 units
Verified Solutions.
Which statements are true regarding the area of circles and sectors? Check all that
apply. - ANS a. The area of a circle depends on the length of the radius.
B. area of a sector depends on the ratio of the central angle to the entire circle.
d. The area of the entire circle can be used to find the area of a sector.
e. The area of a sector can be used to find the area of a circle.
Which statement is true regarding the two shaded sectors of circle O? Explain. - ANS c.
The area of sector AOB is equal to the area of sector DOC because the central angle
measures are equal.
The canopy of a parachute is a semicircle with a radius of 13 feet. A company that is
making parachutes for a Fourth of July celebration wants each parachute to be made
from equal parts of red, white, and blue fabric.
Approximately how much fabric of each color will be needed to make a single parachute
canopy? - ANS b. 88.5 ft²
Timothy built a base for a circular tabletop. The base can support a tabletop with a
radius of at least 6 inches, but not more than 23 inches.
What is the smallest possible area of the tabletop that will fit on Timothy's table base?
Round the answer to the nearest whole square inch. ----
What is the largest possible area of the tabletop that will fit on Timothy's table base?
Round the answer to the nearest whole square inch. ---- - ANS 113 square inches
1,662 square inches
What is the ratio of the sector area to the area of the entire circle? - ANS a. 1/5
If the radius is doubled, what is the effect on the area of sector XYZ? - ANS d. The
sector area will be 4 times greater.
What is the approximate circumference of the circle?
What is the height of the parallelogram?
What would be the approximate length of the parallelogram if the base were completely
straight?
What would make the estimation of the circle's area more precise?
What is the area of the circle used to create the parallelogram-like shape to the nearest
tenth of a square unit? - ANS 18.8 units
3 units
9.4 units
