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If a pentagon is regular, then all of the sides are the same length. This means that
So, if , the lengths of the sides evaluate to
So, all the sides of the pentagon are 21 units long, and AB is 21 units long as well, because all sides are the same length.
Answer:
A ≈ 35.3 units²
Step-by-step explanation:
Calculate the radius CB using Pythagoras' identity in the right triangle.
CB² + AB² = AC²
CB² + 6² = 9²
CB² + 36 = 81 ( subtract 36 from both sides )
CB² = 45 = r²
Then area of quarter circle is
A = × πr² =
× π × 45 ≈ 35.3