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Graphing Circles and Radius Calculations

Graphing Circles and Radius Calculations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This video tutorial explains how to graph a circle that is not centered at the origin. It covers determining the circle's center using the H and K values, calculating the radius from the equation, and plotting points around the center. The tutorial concludes with drawing the circle by connecting the plotted points, providing a comprehensive guide to graphing circles in a coordinate plane.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing a circle that is not centered at the origin?

Determine the center coordinates (H, K).

Plot random points on the graph.

Identify the radius of the circle.

Draw the circle directly.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the center of a circle is given as (-3, 2), what are the coordinates of the center?

(3, -2)

(-3, 2)

(2, -3)

(-2, 3)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the radius of a circle from its equation?

By taking the square root of the radius squared.

By adding the radius to the center coordinates.

By doubling the radius.

By halving the radius.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius if the radius squared is 4?

2

4

8

16

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After plotting the center, what is the next step in graphing the circle?

Calculate the diameter.

Erase the center point.

Plot points that are two units away from the center.

Draw the circle immediately.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a point two units away from the center (-3, 2)?

All of the above

(-5, 2)

(-1, 2)

(-3, 4)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of plotting points around the center?

To calculate the area of the circle.

To help draw the circle accurately.

To determine the circle's circumference.

To find the diameter.

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