In the circle, $A B = 9$ and $B C = 12$ . If $¯ ¯¯¯¯¯¯ ¯ A C$ is the diameter of the circle, what is the length of the radius?

6.5

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7.5

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Solution

The correct option is C $7.5$
In triangle $A B C$ ,
$\Rightarrow {A C}^{2} = {A B}^{2} + {B c}^{2}$
$\Rightarrow {A C}^{2} = 81 + 144 = 225$
$\Rightarrow A C = 15$
Radius of circle is $\frac{A C}{2} = \frac{15}{2} = 7.5$

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In the circle, AB=9 and BC=12. If ¯¯¯¯¯¯¯¯AC is the diameter of the circle, what is the length of the radius?

The correct option is C 7.5In triangle ABC, ⇒AC2=AB2+Bc2⇒AC2=81+144=225 ⇒AC=15Radius of circle is AC2=152=7.5

In the circle, $A B = 9$ and $B C = 12$ . If $¯ ¯¯¯¯¯¯ ¯ A C$ is the diameter of the circle, what is the length of the radius?

The correct option is C $7.5$
In triangle $A B C$ ,
$\Rightarrow {A C}^{2} = {A B}^{2} + {B c}^{2}$
$\Rightarrow {A C}^{2} = 81 + 144 = 225$
$\Rightarrow A C = 15$
Radius of circle is $\frac{A C}{2} = \frac{15}{2} = 7.5$