Purchase Solution

Geometry : Right Triangle Inscribed in a Circle

Not what you're looking for?

Ask Custom Question

Using the diagram attached:

11. What is the measure of arc AC?
12. If ABC is a 30-60-90 triangle, with angle ACB at 30 degrees, and line segment AC is the diameter of the circle, then if the length of line segment AB is 4, what is the radius of the circle?
13. Working with the information from 12 from here to #16, what is the measure of arc AB?
14. What is the measure of arc BC?
15. Are arcs ABC and AC equal?
16. What is the measure of chord BC?
17. If the measure of arc AB is 75 degrees, what is the measure of arc BC?
18. If the measure of arc AB is 80 degrees, what is the measure of angle CAB?
Hint: Remember that all the angles in a triangle add up to 180 degrees.
19. If I created an imaginary point on arc AC named D, and drew line segments from points A and C to D, what would the measure of angle ADC be?
20. If line segment BC has a length of 24, and line segment AB has a length of 18, what is the radius of the circle?

See attached file for full problem description.

Attachments
Purchase this Solution
Solution Summary

Geometry questions about a right triangle inscribed in a circle are answered.

Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

View More Free Quizzes
Related BrainMass Solutions

  • Equilateral triangle and octagon inscribed in circles.

    170716 Equilateral triangle and octagon inscribed in circles. 1) An equilateral triangle with sides of length 10 is inscribed in a circle.

  • Solving Geometry Questions

    Use the following diagrams to show that a^2 + b^2 = c^2. (see attached) 87. A regular octagon (8-sided polygon) is inscribed in a circle of radius r. The length of a side of the inscribed octagon is s = sqrt(2-sqrt(2r)).

  • Circles and Inscribed Right Triangles

    Therefore, POR is a straight line, and is the diameter of the circle. Circles and inscribed right triangles are investigated and discussed in the solution.

  • Geometric Series : Infinite Series of Circles inside Squares and Equilateral Triangles

    40916 Infinite Series of Circles inside Squares & Equilateral Triangle A circle of radius 100is inscribed in a square. The inscribing process continues to infinity. What is the sum of the unshaded areas?

  • Diameter of the largest circular pond in a triangular garden

    The in center is the center of the incircle, the inscribed circle of the triangle The vertices of the triangle are ABC and the sides of the triangle are a,b,c Point x cordinate y cordinate A 18 54 B -27 36

  • Infinite seires

    We start with a triangle of side length 1. The circle inscribed has radius R=sqrt(3)/6. Then we have 3 corner triangles with side length 1/3. The corresponding inscribed circles have radius (1/3)*sqrt(3)/6.

  • Geometry applications

    Please see attachment There are several geometry application questions, involving materials for a backstop, squares inscribed in a circle, dimensions and perimeter of a courtyard and building, and volume of air in a tennis ball canister.

  • Average area of inscribed triangle

    This shows how to find the average area of an inscribed triangle in the unit circle.

  • Circumscribed circles

    6141 The Radius of the Circumscribed circle for a triangle The circumscribed circle is the circle passing through the three vertices of a triangle ABC. Assume the following results from geometry.

View More Related Solutions