3 years ago

The radius of circle A is 4 times greater than the radius of circle B. Which of the following statements is true?

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

8 0

The radius of circle B is 1/4 the size of circle A

andriy [413]3 years ago

7 0

Answer: the diameter of circle b is also less than circle a ?

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inna [77]

Since the triangle is equilateral, all its angles are equal to 60°

AO is the bisector⇒∠OAD = 30°

AO is the hypotenuse, ∠OAD = 30°⇒

OD=5*2=10m

By the Pythagorean theorem

$10^2=AD^2+5^2\\AD=\sqrt{100-25} \\AD=\sqrt{75}$

$AC=AD+DC=2\sqrt{75}=10\sqrt{3}$

$S=\frac{a^2\sqrt{3} }{4}$

$S=\frac{(10\sqrt{3})^2\sqrt{3} }{4} =\frac{300\sqrt{3} }{4} =75\sqrt{3} m^2$

Answer: A) $S=75\sqrt{3}$ m²

P.S. Hello from Russia and sorry for my bad english :^)

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