IAG_Ch 8_Circles

Presentation

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Mathematics

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9th - 12th Grade

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Easy

•

CCSS

HSG.C.A.2, HSG.GPE.A.1, HSG.C.B.5

Standards-aligned

Monica Lopez

Used 2+ times

FREE Resource

8 Slides • 8 Questions

Chapter 8 Review: Circles

IAG 5th Period

Target 8.1

Recall there are two different equations that we can use when writing the equation of a circle

x² + y² = r²

We use this equation when we have our center at the origin.

Multiple Choice

Write the equation of a circle based on the graph given below.

x² + y²= 2

x² + y²= 4

x² - y² = 4

x² - y² = 2

(x-h)² + (y-k)² = r²

This equation is used when we have a center at (h, k).

Multiple Choice

Write the equation of a circle with a center at (2, 5) and radius of 4

(x-2)² + (y-5)²= 16

(x-2)² + (y-5)²= 4

(x+2)² + (y+5)²= 16

(x+2)² + (y+5)²= 4

Target 8.2

Open Ended

What is the difference between Circumference and arc length?

Type response here

Open Ended

What is the difference between the area of a circle and area of a sector?

Type response here

Target 8.3

Inscribed Angle Theorem: The measure of an angle inscribed in a circle is HALF the measure of its intercepted arc.

Multiple Choice

If $m\angle ABC\ =\ 40\degree$ then find the measurement of the arc $AC$

$40\degree$

$20\degree$

$80\degree$

Target 4

Tangent Line: A line that intersects a circle at one point. A tangent segment is perpendiculat to the radius of circle creating a $90\degree$ angle.

Open Ended

Explain how to find the segment OB

Type response here

Theorem:

If two segments are tangent to a circle from the same external point, then the segments are congruent.

Multiple Choice

Assume both segments are tangent to the center point. Find x

x = 5

x = 3

x = 4

x = 7

Multiple Choice

Find the perimeter of the following triangle ABC.

Chapter 8 Review: Circles

IAG 5th Period

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