In the rectangle below, the two quarter-circles are congruent. Find the area of the shaded region. If necessary, round your answer to two decimal places.

Question

anonymous · Answer

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anonymous · Answer

@Gebooors, can you help me with this one?:o

gebooors · Answer

First you notice you have two one-fourth circles with radius 6

gebooors · Answer

Do you find the length of longer side of rectangle?

anonymous · Answer

um, i think the length is 12 and width is 6 of the rectangle which the area would be 72. then again, i'm not sure.

anonymous · Answer

@Gebooors

gebooors · Answer

You're right, great.

Then what is total area of two 1/4-circles?

gebooors · Answer

They form a semicircle, right?

anonymous · Answer

The radius is 6 so uhh PI x 6 squared is 113.10
Do i cut the area 113.10 in half? @Gebooors

gebooors · Answer

Yes, that's right!

anonymous · Answer

so it'd be 56.55? :o

gebooors · Answer

Good!

Then, how you get the shaded area?

anonymous · Answer

Area of Rectangle is 72
Area of semicircle is 56.55
idk what to do next lol
um subtract? @Gebooors

gebooors · Answer

Yes, area is area of rectangle - semicircle

anonymous · Answer

I got 15.45 :o
is that the final answer?

gebooors · Answer

Yes, you're doing we'll, young lady,

I send you a message

anonymous · Answer

I got it right (: Thaaaaaaaaaaaanks sir! lol @Gebooors