Who’s ready for a tough geometry problem?!?!

This week’s ACT Math Challenge Question requires you to put together quite a few nuggets of geometry knowledge. Try it out, and post your answer and how you got it in the comments below. I will reveal all on Friday! Your explanation may even get featured, smartypants!

As shown in the figure below, A is the center of the circle, and right triangle ABC intersects the circle at D and E. Point D is the midpoint of AC, which is 22 cm long. The shaded region inside the circle and outside the triangle has an area of square centimeters. What is the approximate measure of angle B?

A. 45°

B. 48°

C. 50°

D. 54°

E. 57°

##### About Kristin Fracchia

Kristin makes sure Magoosh's blogs are chock-full of awesome, free resources for students preparing for standardized tests. With a PhD from UC Irvine and degrees in Education and English, she’s been working in education since 2004 and has helped students prepare for standardized tests, as well as college and graduate school admissions, since 2007. She enjoys the agonizing bliss of marathon running, backpacking, hot yoga, and esoteric knowledge.

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