Mathematics, 23.04.2021 06:40 mattsucre1823
A circle has a circumference of 10π feet. Which expression represents the area of the circle in square feet?
A) 20π
B) 25π
C) 100π
D) 400π
Answers: 1
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Mathematics, 20.06.2019 18:04, Uc34758
Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?
Answers: 2
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A circle has a circumference of 10π feet. Which expression represents the area of the circle in squa...
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