Notes: AREAS OF SHADED REGIONS - Weebly

Notes: AREAS OF SHADED REGIONS

Content Objective: I will be able to apply area formulas to problems in which the

desired shaded region is the difference of the areas of two figures.

For Examples # 1 ¨C 6, determine the area of the shaded region. Round to the nearest tenth.

EXAMPLE 1:

The figure on the left is made up of a square and a circle:

A

8

B

O

D

C

a. What is the area of the square ABCD? __________units2

b. What is the area of the circle O? ________________ units2

c. What operation would you use to determine the area of the

shaded region in the original figure?__________________

d. Area of the shaded region: _____________________units2

QUICK CHECK:

Area of the shaded region: ______________ ___

Geometry Unit 7- Properties of Polygons

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Notes: AREAS OF SHADED REGIONS

EXAMPLE 2:

a. What is the area of the circle? ______________ units2

b. What is the area of the rectangle? ____________units2

c. Area of the shaded region: ______________ ___units2

QUICK CHECK:

Area of the shaded region: ______________ ___

EXAMPLE 3:

a. What is the area of the circle? ______________ units2

6 3

b. What is the area of the triangle? ______________units2

c. Area of the shaded region: __________________ units2

Geometry Unit 7- Properties of Polygons

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Notes: AREAS OF SHADED REGIONS

QUICK CHECK:

Area of the shaded region: ______________ ___

EXAMPLE 4:

a. What is the area of the big circle? ___________ cm2

b. What is the area of the small circle? ___________cm2

c. Area of the shaded region: __________________ cm2

QUICK CHECK:

Area of the shaded region: ______________ ___

Geometry Unit 7- Properties of Polygons

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Notes: AREAS OF SHADED REGIONS

EXAMPLE 5:

a. What is the area of the square? _____________ in2

b. What is the area of the ONE circle? ___________in2

c. What is the area of the FOUR circles? ___________in2

d. Area of the shaded region: __________________ in2

QUICK CHECK:

Area of the shaded region: ______________ ___

EXAMPLE 6: The figure below shows a CD in its rectangular

storage case. What is the approximate area

of the storage case not occupied by the CD?

(Round to the nearest tenth of a centimeter.)

Geometry Unit 7- Properties of Polygons

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