Question

A chord 20 inches long is 4 inches from the center

Answer 1

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:

$(4)^2 +(10)^2= (R)^2$

$16 +100= (R)^2$

$116= (R)^2$

$R =\sqrt{116}$

R= 10.77

R = 10.8 inches