Question

Find x on the following figure​

Answer 1

If the perpendicular from chord is x, the length of cord is 11.3 and diameter be 15.5 then the value of x is 4.54.

Given Perpendicular from center to chord is x. The length of cord be 11.3 and the diameter be 15.5.

Perpendicular means a line on other line making an angle of 90 degrees. Cord is the length of line joining two points on a circle and is different from radius or diameter. We know that the formula of calculating the length of chord is as under:

l=$2\sqrt{r^{2} -d^{2} }$

now put the value of l=11.3 and r=15.5/2=7.25

11.3=$2\sqrt{7.25^{2} -x^{2} }$

11.3/2=$\sqrt{52.5625-x^{2} }$

5.65=$\sqrt{52.5625-x^{2} }$

squaring both sides

$5.65^{2} =52.5625-x^{2}$

31.9225=52.5625-$x^{2}$

31.9225-52.5625=-$x^{2}$

-20.64=-$x^{2}$

20.64=$x^{2}$

x=4.54

Hence if the length of cord is 11.3 and diameter is 15.5 then the value of x is 4.54.

Learn more about circle at brainly.com/question/24375372

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