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Explore the Back-StoryTry this beautiful Problem based on area from AMC 8 2020.

Rectangle is inscribed in a semicircle with diameter , as shown in the figure. Let , and let . What is the area of ?

- 240
- 248
- 256
- 264
- 272

Area

Semi circle

Symmetry

AMC 8 2020 Problem 13

240

Try to find the diameter of the semicircle. So the diameter will be,

The diameter of the semicircle is , so . By symmetry, is the midpoint of AD,So, .

Now, apply Pythagorean Theorem to find CD,

SO the area of ABCD will be=

Try this beautiful Problem based on area from AMC 8 2020.

Rectangle is inscribed in a semicircle with diameter , as shown in the figure. Let , and let . What is the area of ?

- 240
- 248
- 256
- 264
- 272

Area

Semi circle

Symmetry

AMC 8 2020 Problem 13

240

Try to find the diameter of the semicircle. So the diameter will be,

The diameter of the semicircle is , so . By symmetry, is the midpoint of AD,So, .

Now, apply Pythagorean Theorem to find CD,

SO the area of ABCD will be=

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