Purchase Solution

Tangent Circles

Not what you're looking for?

Ask Custom Question

Please see the attached file for the fully formatted problems.

Two congruent semicircles lie on the diameter of a third semicircle, each tangent to the other two. A small circle is tangent to all three semicircles. If the area of the shaded region is 45pi, what is the length of the radius of the small circle.

Attachments
Purchase this Solution
Solution Summary

The radius of a circle tangent to two other circles is found.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Let the circles be A B C D

Radius of A is 2r
B and C is r
And ...

Purchase this Solution
Free BrainMass Quizzes
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.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

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

Exponential Expressions

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

Multiplying Complex Numbers

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

View More Free Quizzes
Related BrainMass Solutions

  • Calculation of external common tangent's length of circles

    170714 Calculation of external common tangent's length of circles Circle O and circle P are externally tangent circles. Circle O is tangent to circle P at T, OT = 12, TP = 6. AB is a common external tangent line to both circles. Find AB.

  • Finding the area between two circles inner-tangential to a parabola.

    In that trapezoid, we know that OO'=9 (because the circles are tangent too and so the straight line that connects these circles is equal to the sum of their radii). Therefore we have 3 sides of this trapezoid, namely OO'=9, O'C=4 and OB=5.

  • Tangency of three circles

    The circle whose center is P that passes through X and Y appears to be tangent to the original circles A and B. Please prove why this is See attachment for sketch. Please see the attached file.

  • Congruent Circles in an Equilateral Triangle

    170715 Congruent Circles in an Equilateral Triangle 3 congruent circles with radius 5 are tangent to each other. The circles are enclosed in an equilateral triangle. What it the perimeter of the triangle?

  • How do I solve this problem of second - degree equations?

    Sketch the graphs of each pair of circles to determine the number of points of intersection. If the circles are tangent or fail to intersect, say so.

  • Circle Properties and Missing Values

    Property 3: The two segments tangent to a circle from a point outside the circle are congruent. That is, TP = TQ. Let's work out problems related to the chords and tangents to the circles.

  • Geometry

    C. a line tangent to the circle. d. a secant line to the circle. e. concentric circles. {DIAGRAM} Please see the attached file for the fully formatted problems. Please see the attached file for the complete solution.

  • Two circles, A and B, touch each other at exactly one point...

    35872 Two circles, A and B, touch each other at exactly one point... Two circles, A and B, touch each other at exactly one point, as shown in the diagram below. The equation of circle A is . Circle B has centre (1, k + 1) and radius 4.

  • Finding the Equation of a Circle

    A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1 a.) Determine the other x-intercept b.) Deduce the equation of the circle By symmetry, two such circles are possible.

View More Related Solutions