8.5 Equation of a Circle

Presentation

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Mathematics

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10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSG.GPE.A.1, 7.G.B.4, HSG.C.B.5

Standards-aligned

Rachel Pankratz

Used 4+ times

FREE Resource

3 Slides • 10 Questions

Unit 8: Circles

8.5 Equation of a Circle

Match

Complete the formulas by matching.

$2\pi r$

$\pi r^2$

$\pi d$

$\frac{x\cdot C}{360}$

$\frac{x\cdot2\pi r}{360}$

=Circumference using radius

=Area of a circle

=Circumference using diameter

=Arc length using circumference

=Arc length using radius

Multiple Choice

Find the length of the bold arc.Leave pi in your answer.

5688π ft

15.8π ft

150.4π ft

54,150 ft

1.Equation of a Circle Formula

Example 1:

Write the equation of the circle with the center point (5,3) and the a radius of 2.

Example 2:

Write the equation of the circle with the center point (-1,7) and the a radius of 14.

Math Response

Write the equation of the circle with a center at (-2, -11) and a radius 8.

Type answer here

Deg^°

Rad

Math Response

Write the equation of the circle with a center at (0, 9) and a radius 32.

Type answer here

Deg^°

Rad

Math Response

Write the equation of the circle with a center at (-4,0) and a radius $\sqrt[]{47}$ .

Type answer here

Deg^°

Rad

Math Response

Write the equation of the circle with a center at (15,-6) and a radius $\sqrt[]{158}$ .

Type answer here

Deg^°

Rad

Dropdown

If the equation of the circle is

\left(x-5\right)^2+\left(y-1\right)^2=64

then the center is

and r=

Dropdown

If the equation of the circle is

\left(x-6\right)^2+\left(y+11\right)^2=58

, then the center point is

and the radius is

Multiple Choice

Write the equation of the circle.

(x+1)² + (y +1)² = 3

(x+1)² + (y -1)² = 3

(x+1)² + (y +1)² = 9

(x-1)² + (y -1)² = 9

Multiple Choice

What is the equation for this circle?

(x+1)+(y+1)=9

x²+y²=9

x+y=9

Unit 8: Circles

8.5 Equation of a Circle

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