Answer:
The radius of the circle is 10.8 inches
Step-by-step explanation:
Given:
Length of the chord = 20 inches
Distance of the chord from the center of the circle = 4 inches
To find:
radius of the circle=?
Solution:
As shown in the figure below, the radius, r, is the hypotenuse of a right triangle. One leg of the triangle is 4 and the other is half o f20 , or 10. Using the Pythagorean theorem to calculate the length of R, as follows:
[tex](4)^2 +(10)^2= (R)^2[/tex]
[tex]16 +100= (R)^2[/tex]
[tex]116= (R)^2[/tex]
[tex]R =\sqrt{116}[/tex]
R= 10.77
R = 10.8 inches
