You must be logged in to see worked solutions.

Already have an account? Log in here.

\(\)

If the radius of \(\bigodot O\) is \(18,\) what is the area of the shaded region?

(A) \(\ \ 81\pi - 162\)

(B) \(\ \ 162\)

(C) \(\ \ 81 \pi\)

(D) \(\ \ 324\pi - 162\)

(E) \(\ \ 324\pi\)

You must be logged in to see worked solutions.

Already have an account? Log in here.

The circles above are tangent to each other. If the circles are congruent, and the radius of one circle is \(2,\) what is the perimeter of the polygon formed when connecting their centers?

(A) \(\ \ 4\)

(B) \(\ \ 16\)

(C) \(\ \ 28\)

(D) \(\ \ 32\)

(E) \(\ \ 36\)

You must be logged in to see worked solutions.

Already have an account? Log in here.

\(\)

If the area of \(\triangle ABC\) is \(24\) and the area of \(\bigodot A\) is \(144\pi,\) what is the length of \(\overline{CD}?\)

(A) \(\ \ 2\)

(B) \(\ \ 4\)

(C) \(\ \ 12\)

(D) \(\ \ 48\)

(E) \(\ \ 144\)

You must be logged in to see worked solutions.

Already have an account? Log in here.

In the rectangle above, the four congruent semicircles are tangent to each other. If the length of the rectangle is \(24,\) what is the area of the shaded region?

(A) \(\ \ 288 - 72 \pi\)

(B) \(\ \ 288 - 36\pi\)

(C) \(\ \ 72\pi\)

(D) \(\ \ 192 - 288\pi\)

(E) \(\ \ 216\pi\)

You must be logged in to see worked solutions.

Already have an account? Log in here.

\(\)

\(\overline{DA}\) is a diameter in \(\bigodot O\) above and \(\overline{AB} \parallel \overline{OC}.\) If \(m\angle OAB=25^\circ,\) what is the ratio \(m\widehat{DC} : m\widehat{CB}?\)

(A) \(\ \ 1:1\)

(B) \(\ \ 1:2\)

(C) \(\ \ 1:3\)

(D) \(\ \ 2:1\)

(E) \(\ \ 2:3\)

You must be logged in to see worked solutions.

Already have an account? Log in here.

×

Problem Loading...

Note Loading...

Set Loading...