The rectangle 5

The rectangle OABC has one vertex at O, the center of a circle, and a second vertex A is 2 cm from the edge of the circle, as shown. The vertex A is also a distance of 7 cm from C. The point B and C lie on the circumference of the circle.

a. What is the radius?
b. Find the length of AB.

Correct answer:

r =  7 cm
a =  5 cm
b =  4.899 cm

Step-by-step explanation:

AC=7 cm AC= d1 = d2 = r = diagonal = a2+b2  r=AC=7=7 cm
a + 2 cm = 7 a2 + b2 = 72  a=72=5 cm
b=r2a2=7252=2 6=4.899 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: