Areas of Circles and Sectors and Composite Figures
CHAPTER 11.3 AND 11.4
CONCEPT 1
Area of a Circle
MANUFACTURING An outdoor accessories
company manufactures circular covers for
outdoor umbrellas. If the cover is 8 inches longer
than the umbrella on each side, find the area of the
cover in square inches.
A swimming pool company
manufactures circular
covers for above ground
pools. If the cover is 1 foot
longer than the pool on
each side, find the area of
the cover.
A. 62.8 ft2
B. 254.5 ft2
C. 314.2 ft2
D. 1256.6 ft2
Use the Area of a Circle to Find a Missing
Measure
ALGEBRA Find the radius of a circle with an area
of 58 square inches.
Answer: The radius of the circle is about 4.3 in.
ALGEBRA Find the radius of a circle with
an area of 45 square inches.
A. 3.8 in.
B. 4.5 in.
C. 5.7 in.
D. 7.6 in.
CONCEPT 2
Area of a Sector
PIE A pie has a diameter of 9 inches and is cut
into 10 congruent slices. What is the area of one
slice to the nearest hundredth?
PIZZA A pizza has a diameter of 14 inches
and is cut into 8 congruent slices. What is
the area of one slice.
A. 16.21 in2
B. 19.24 in2
C. 26.43 in2
D. 38.48 in2
FIND THE AREA OF A SECTOR OF A CIRCLE.
Find the Area of a Composite Figure by Adding
POOL The dimensions of an irregularly shaped
pool are shown. What is the area of the surface of
the pool?
Find the area of the
figure in square feet.
Round to the nearest
tenth if necessary.
A. 478.5 ft2
B. 311.2 ft2
C. 351.2 ft2
D. 438.5 ft2
Find the Area of a Composite Figure by
Subtracting
Find the area of the shaded figure.
INTERIOR DESIGN Alina wants to wallpaper
one wall of her family room. She has a
fireplace in the center of the wall. Find the
area of the wall around the fireplace.
A. 168 ft2
B. 156 ft2
C. 204 ft2
D. 180 ft2