Transcript 10.4 - Mrs. Durante's Math Classes

10.7
Areas of Circles and Sectors
10.7 – Areas of Circles & Sectors
Goals / “I can….”
 Find the areas of circles, sectors, and
segments of circles
10.7 – Areas of Circles & Sectors
 Area of a circle

A = πr
2
r
10.7 – Areas of Circles & Sectors
 How much more pizza is there in a 12 in. –
diameter pizza than a 10 in. pizza?
10.7 – Areas of Circles & Sectors
 A sector of a circle is a region bounded by
an arc of the circle and the 2 radii to the arc’s
endpoints.

Translated in English………it’s like a piece of
pizza.
10.7 – Areas of Circles & Sectors
 Area of a sector of a circle / pizza

A=
mAB
360
πr
2
A
r
B
10.7 – Areas of Circles & Sectors
 Find the area of sector ZOM
Z
72°
20
O
M
10.7 – Areas of Circles & Sectors
 Find the area of the segment
A
10
B
10.7 – Areas of Circles & Sectors
10.7 – Areas of Circles & Sectors
 Find the area of the segment

HINT:
Area of Sector
Area of Triangle
=
A
10
B
10.7 – Areas of Circles & Sectors
 Let’s try 1 more to make sure you guys got it
10.7 – Areas of Circles & Sectors
 Find the area of the shaded segment