Calculating Radius and Angles

Calculating Radius and Angles

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial guides viewers through solving a geometry problem involving finding the radius of a cycle. The instructor explains the relationship between diameter and radius, applies the cycle theorem to understand angle properties, and uses similar triangles to relate side lengths. The tutorial concludes with solving equations to find the radius and encourages viewers to subscribe for more content.

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26 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main objective of the tutorial?

To solve a quadratic equation

To calculate the area of a triangle

To determine the radius of a cycle

To find the circumference of a cycle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the first line segment given in the problem?

2 cm

3 cm

4 cm

5 cm

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

The radius is twice the diameter

The radius is three times the diameter

The radius is half the diameter

The radius is equal to the diameter

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of extending the line in the problem?

To complete the diameter

To create a chord

To bisect the angle

To form a tangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the variable X represent in the context of the problem?

The length of the original line segment

The length of the extended line

The length of the radius

The length of the circumference

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the cycle theorem, what angle is formed when a diameter subtends an angle to the circumference?

45 degrees

60 degrees

90 degrees

120 degrees

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of the cycle theorem in the problem?

To determine the length of the radius

To establish the relationship between angles

To find the length of the diameter

To calculate the area of the cycle

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