Circle's chords

The circle has two chord lengths, 30 and 34 cm. The shorter one is from the center twice as a longer chord. Determine the radius of the circle.

Correct answer:

r =  17.6163 cm

Step-by-step explanation:

t1=30 t2=34 r2=(t1/2)2+(2x)2 r2=(t2/2)2+x2 3x2 = (t2/2)2 (t1/2)2 x=((t2/2)2(t1/2)2)/3=((34/2)2(30/2)2)/34.6188 r1=(t1/2)2+(2x)2=(30/2)2+(2 4.6188)217.6163 r2=(t2/2)2+(x)2=(34/2)2+4.6188217.6163 r=r1=17.6163=17.6163 cm



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
The Pythagorean theorem is the base for the right triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: