3 years ago

Find the area and circumference of each of the following circles ,in terms of pi

Mathematics

1 answer:

enyata [817]3 years ago

5 0

Answer:

The area is about 1590 and the circumference is about 141

Step-by-step explanation:

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Answer:

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3 years ago

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Rewire the rational exponent as a radical

Mice21 [21]

Answer:

$\large\boxed{\sqrt[3]{\left(\dfrac{15}{4}\right)^2}}$

Step-by-step explanation:

$a^\frac{n}{m}=\sqrt[m]{a^n}\\---------------------\\\\\left(5\times\dfrac{3}{4}\right)^\frac{2}{3}=\left(\dfrac{5\times3}{4}\right)^\frac{2}{3}=\left(\dfrac{15}{4}\right)^\frac{2}{3}=\sqrt[3]{\left(\dfrac{15}{4}\right)^2}$

Answer:

$\large\boxed{C.\ \sqrt5}$

Step-by-step explanation:

$\left(5^\frac{3}{4}\right)^\frac{2}{3}\\\\\text{Use}\ (a^n)^m=a^{nm}\\\\5^{\frac{3}{4}\cdot\frac{2}{3}}=5^{\frac{1}{2}\cdot\frac{1}{1}}=5^\frac{1}{2}=\sqrt[2]5=\sqrt5$