Circle A has a radius of 4 and arc BD has length of 6.5.
Circle C is a different circle with radius 6 and arc EF. Angle ECF is congruent to angle BAD.
What is the length of arc EF?
Enter your answer as a number, like this: 42.25

I tried to use the arc length equation and equal them to each other, but I kept getting x=0..... I do not know what to do please help me.

  1. 👍 0
  2. 👎 0
  3. 👁 65
asked by Lyssa
  1. It's just a direct proportion ...
    arc EF/6.5 = 6/4 = 3/2
    2(arc EF) = 3(6.5)
    arc EF = ...

    or, you could do your arclength thing: arc = rØ,
    for smaller circle:
    4Ø = 6.5
    Ø = 6.5/4

    for larger circle: let arclength EF = x
    6Ø = x
    Ø = x/6

    x/6 = 6.5/4
    x = 6(6.5)/4 = same as above

Respond to this Question

First Name

Your Response

Similar Questions

  1. apex geometry

    Hannah constructed two similar circles as seen in the image below. If the arc length of the larger circle is , which of the following would be true? A. The arc length of the smaller circle is proportional to the radius of the

    asked by zakiya on January 8, 2016
  2. Math rem

    2.Find the length of the arc in a circle if the radius of the circle is 24cm and the degree of the arc is 90o 3.Find the length of the arc if a circle if the degree if the arc is 120o and the length of the radius is 8cm. 4. A

    asked by bs on February 11, 2013
  3. Math

    A minor arc of a circle subtends an angle of 105 degree at the center of the circle. If the radius of the circle is 8.4 cm, find the length of the major arc. 22/7

    asked by Kiff on June 4, 2018
  4. maths

    O is the centre of the circle and A and B are points on the circumference of the circle. The radians of the circle is 12 cm and the angle AOB is 54 degrees. Choose the one option which gives the length of the circle joining A and

    asked by katie on April 20, 2007
  5. math

    Whats the difference between an arc [of a circle]'s length and measure? And how do you find each of them? The "measure" of an arc is the angle that it subtends from the center of the circle. Call that angle A. The length of the

    asked by Emily on March 20, 2007
  1. Math

    I think this will be the last one. Find the radius of circle C if the measure of anglePQR=24° and the length of arc PR is 8pi. Answers: a.15 b.20 c.30 d.60 e.45 The diagram looks like a circle with its center at C. At a point on

    asked by Anonymous on September 4, 2009
  2. Math

    I have a question my brother asked me but I need a math expert. You have two interlocking circles and the radius of circle B goes through the center of circle A and of course the radius of circle A goes through the center of

    asked by DrBob222 on June 25, 2013
  3. Maths

    Find the length of an arc of a circle of radius 5.6cm which subtends an angle of 60°at the centre of the circle of the circle take pie 22 divided by 7

    asked by Adeleye charlot on April 8, 2017
  4. maths

    Im confused can any1 help me on this question ?? or try and put me on the right track? (a) A circle has radius 2cm (in that circle there is an triangle AOB) and the chord AB has length 3cm. AO is 2cm and BO is 2cm. O is the centre

    asked by hi on September 25, 2007
  5. math

    An angle of 1.8 radians at the center of the circle subtends an arc of length 23.4cm. Find: (a) The radius of the circle (b) The area of the sector enclosed by the arc and the radii.

    asked by kudu on February 24, 2015
  6. Math

    Find the exact values for the lengths of the labeled segments a, b and p drawn in green, red, and blue, respectively. Note that r=3 is the radius of the circle, and s=2 is the arc length from the point (3,0) around the circle to

    asked by Kayla on March 14, 2017

More Similar Questions