Probability and Geometry Concepts

Probability and Geometry Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Aiden Montgomery

FREE Resource

The video tutorial walks through a probability problem involving circle geometry. It begins with drawing a circle and explaining key terms like diameter, radius, and circumference. The instructor sets up a probability problem, calculates the probability using circle properties, and discusses relevant formulas. The tutorial concludes with simplifying the results and rounding techniques.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the problem presented in the video?

Draw the circle and its diameter

Calculate the area of the circle

Identify the center of the circle

Find the circumference of the circle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which term describes the distance across the circle through its center?

Chord

Radius

Circumference

Diameter

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the radius and the diameter of a circle?

The diameter is half the circumference

The radius is half the circumference

The diameter is twice the radius

The radius is twice the diameter

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the probability problem, what is the total length of favorable outcomes?

50 centimeters

40 centimeters

30 centimeters

20 centimeters

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the sample space determined in the probability problem?

By calculating the area of the circle

By measuring the diameter

By using the circumference formula

By counting the number of points on the circle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What formula is used to calculate the circumference of a circle?

πd

2πr

πr²

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified probability of the point being within 10 cm of either P or Q?

1/π

2/π

3/π

4/π

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