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In figure 2, O is the center of the circle and B is a point on the circle. In rectangle OABC, if OA-5 and OC -6, what is the area of the circle?
A) 11 pie
B) 25 pie
C) 36 pie
D) 61 pie

In figure 2 O is the center of the circle and B is a point on the circle In rectangle OABC if OA5 and OC 6 what is the area of the circle A 11 pie B 25 pie C 36 class=

Respuesta :

gmany

The formula of an area of a circle:

[tex]A_O=\pi r^2[/tex]

Use the Pythagorean theorem to calculate a length of a radius.

[tex]r^2=5^2+6^2\\\\r^2=25+36\\\\r^2=61\to r=\sqrt{61}[/tex]

The area of a circle:

[tex]A_O=\pi\cdot(\sqrt{61})^2=61\pi[/tex]

Answer: D) 61π

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