Circle Geometry and Radius Concepts

Circle Geometry and Radius Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers the equation of a circle with its center at the origin. It explains how to find the intercepts and radius of a circle, draw the circle using a compass, and verify if certain points lie on the circle. The tutorial also demonstrates using the Pythagorean theorem to find the equation of a circle and concludes with calculating the area and circumference of a circle.

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of the equation of a circle centered at the origin?

x^2 - y^2 = r^2

x^2 + y = r^2

x^2 + y^2 = r^2

x + y = r

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a circle crosses the x-axis at 4 and -4, what is its radius?

4

3

5

2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of a circle with a radius of 4?

x^2 + y^2 = 16

x^2 + y^2 = 20

x^2 + y^2 = 8

x^2 + y^2 = 12

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

By squaring the constant term

By finding the square root of the constant term

By doubling the constant term

By halving the constant term

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What tool is recommended for drawing a circle accurately?

Set square

Protractor

Pair of compasses

Ruler

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is not on the circle with the equation x^2 + y^2 = 25?

(0, 5)

(3, 4)

(5, 0)

(2, 4)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when substituting x = 3 and y = 4 into the equation x^2 + y^2 = 25?

25

35

20

30

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