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ehidna [41]
3 years ago
5

Which is the area of a circle with circumference of 15.7 units?( Use 3.14 for )

Mathematics
2 answers:
Levart [38]3 years ago
7 0
Circumference of a circle= 2πr = 15.7
from this radius r= 15.7/ 2π
r= 15.7/(2x 3.14)
r= 15.7/ 6.28 = 2.5
therefore area = π r^2= π x r x r
= 3.14 x 2.5 X 2.5 = 19.625 sq units
damaskus [11]3 years ago
4 0
A = π(r²) --- r is radius

C = πd --- d is diameter

First, the circumference must be found. If the circumference is 15.7, plug it in.

15.7 = πd

We know what pi is.

15.7 = 3.14 (d)

Now, simply divide 3.14 by 15.7 to find the diameter (d). You get 5. Since the radius is half of the diameter, the radius is 2.5. Plug this into the area formula, and plug pi in, too.

A = 3.14(2.5²) 

2.5 to the second power is 6.25.

A = 3.14(6.25)

Tada! Multiply, and you're left with 19.625!
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Answer:

n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9} -- Perfect square trinomial

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Step-by-step explanation:

Given

n^2 + \frac{2n}{3}

Solving (a): Perfect square trinomial

We have:

n^2 + \frac{2n}{3}

Express as an equation

n^2 + \frac{2n}{3} =

Start----------------------------

Take coefficient of n i.e. (2/3)

Half it: i.e. (1/3)

Square it: (1/63^2

Add to both sides of the equation

---------------------------End

So, we have:

n^2 + \frac{2n}{3} + (\frac{1}{3})^2 = (\frac{1}{3})^2

Remove brackets

n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}

Solving (b): Binomial Squared

n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}

Expand

n^2 + \frac{n}{3}+ \frac{n}{3} + \frac{1}{9} = \frac{1}{9}

Factorize:

n(n + \frac{1}{3})+ \frac{1}{3}(n + \frac{1}{3}) = \frac{1}{9}

Factor out n + 1/3

(n + \frac{1}{3})(n + \frac{1}{3}) = \frac{1}{9}

Express as square

(n + \frac{1}{3})^2 = \frac{1}{9}

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