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2 years ago

The circumference is 28.26, what is the radius and area?

Mathematics

1 answer:

Shalnov [3]2 years ago

7 0

Answer:

The radius is 4.5, while the area is equaled to 63.585

Step-by-step explanation:

Formula of circumference: radius times 2 times pie (3.14)

Formula of Area of Circle: radius squared times pie (3.14)

Divide 28.26 by 2 and by pie (3.14) to get the radius. You should get 4.5.

Square 4.5 (the radius), which should equal to 20.25. Then, multiply it by pie (3.14), which is equaled to 63.585. This is the area of the circle.

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Answer:

$a_1=1.04$

Step-by-step explanation:

We have a geometric sequence with:

$Sn = 89,800$ , $r = 3.4$ , and $n = 10$

Where

Sn is the sum of the sequence

r is the common ratio

$a_1$ is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

$S_n=\frac{a_1(1-r^n)}{1-r}$

Then:

$89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}$

Now we solve for $a_1$

$89,800(1-3.4)=a_1(1-(3.4)^{10})$

$a_1=\frac{89,800(1-3.4)}{1-(3.4)^{10}}\\\\a_1=1.04$

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