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2 years ago

What is the area of the shaded sector?

Mathematics

2 answers:

Salsk061 [2.6K]2 years ago

7 0

Answer:

= 72*pi

If we approximate pi

= 226.08

Step-by-step explanation:

The area of the entire circle is

A = pi * r^2

where r = 24

A = pi * 24^2

A = pi *576

45 degrees is part of a 360 degree circle

45/360 =1/8

Multiply the area by 1/8 since it is 1/8 of the circle

1/8 A = 1/8 * 576pi

= 72*pi

If we approximate pi

= 226.08

Sati [7]2 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

area of sector = area of circle × fraction of circle

= π × 24² × $\frac{45}{360}$

= π × 576 × $\frac{1}{8}$ = 72π units² ← exact value

area of sector = 72π units² ≈ 226.2 units² ( 1 dec. place )

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after 2 years?

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
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\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1000\\
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n=
\begin{array}{llll}
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\end{array}\to &1\\
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\\\\\\
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after 3 years?

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
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1000( 1² + 2r + r²)

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2 years ago

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Since the interest rate is compounded semi annually, So, n = 10

Now if we calculate the future value of 1400 with interest rate 5.4 percent:

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Therefore, 1827.39 will be the total money in his account after five years.

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