04-06-Areas and Sectors

Sec 4.6 – Circles & Volume
Circumference, Perimeter, Arc Length Name: Problem
Hint
Formula
1. Find the area of the rectangle and write down the
formula for finding the area of a rectangle.
1.
2. Find the area of the right triangle and write down
the formula for finding the area of a right triangle.
3. Find the area of the acute triangle and write down
the formula for finding the area of an acute triangle.
4. Find the area of the parallelogram and write down
the formula for finding the area of an acute triangle.
M.Winking
Unit4‐6page109
Problem
5. Find the area of the
trapezoid and write down
the formula for finding the
area of a rectangle.
Hint
Formula
Make a Copy
4
6
Rotate Copy
8
6
Creates a Parallelogram exactly twice the size of the trapezoid
6. Find the area of the circle
below.
1. Findtheareaandperimeterofeachofthefollowingshapes.
3 cm
11.5 cm
8 cm
4 cm
Area:
Area:
Perimete
Perimete
Perimete
7 in
6 in
1 in
Area:
9 in
Area:
Area:
Area:
Perimete
Perimete
Perimete
2. Solvethefollowingareaproblems.
Determine the area of
the rhombus shown.
Area:
Find an expression that would
represent the area of the triangle.
Find the length of the radius given
2
the area of the circle is 531 cm .
x =
Area:
3. Findthefollowingsectorareas(shadedregions)usingfractionalparts.
Sector
Area
:
Sector
Area
M.Winking
Sector
Area
:
Unit4‐6page111
:
4. Findtheareaofeachoftheshadedregions.
Area:
x =
Area:
5. Solvethefollowingproblems.
Find the area of the shaded region,
given that AC is tangent to the
circle at point B and ∡
°
Sector
Area
:
Find the central angle of a sector
2
that has an area of 71 cm and a
radius of 7 cm.
Sector
Area
M.Winking
Find the radius of a sector that
2
has an area of 92 cm and a
central angle of 130˚.
Sector
Area
:
Unit4‐6page112
:
6. Findtheareaofthefollowingcompoundfigures(assumeallcurvedshapesaresemicircles).
Area:
x =
Area:
7. Findtheareaofthefollowingshadedregions
Area:
Area:
M.Winking
Unit4‐6page113