All categories

3 years ago

The area of a circle is 23.79cm2. Find the length of the radius rounded to 2 DP.

Mathematics

1 answer:

Gnom [1K]3 years ago

8 0

Answer:

2.75cm

Step-by-step explanation:

Given data

Area of circle= 23.79cm^2

We know that the formula for the area of a circle is

Area= πr^2

Substitute

23.79=3.142*r^2

23.79/3.142= r^2

7.57=r^2

Square roo both sides

r= √7.57

r= 2.75 cm

Hence the radius is 2.75cm

You might be interested in

Alan borrowed $570 for a new bed. He made 9 monthly payments to repay the loan. He

stepladder [879]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$45\\ P=\textit{original amount deposited}\dotfill & \$570\\ r=rate\to r\%\to \frac{r}{100}\\ t=months\dotfill &9 \end{cases} \\\\\\ 45 = (570)(\frac{r}{100})(9)\implies \cfrac{45}{(570)(9)}=\cfrac{r}{100}\implies \cfrac{1}{114}=\cfrac{r}{100} \\\\\\ \cfrac{100}{114}=r\implies \stackrel{\%}{0.88}\approx r$

4 0

2 years ago

Please solve, -8-2(7r+1)=-94

skelet666 [1.2K]

Answer:

r = 6

Step-by-step explanation:

Hello!

-8 - 2(7r + 1) = -94

Add 8 to both sides

-2(7r + 1) = -86

Divide both sides by -2

7r + 1 = 43

Subtract 1 from both sides

7r = 42

Divide both sides by 7

r = 6

Hope this Helps

4 0

3 years ago

Read 2 more answers

Assume that y varies inversely as x. If y = 16 when x = 4, find y when x = 6.

iren2701 [21]

The first ratio is 1:4 so if x is 6 then 6x4 is 24 your answer is 24.

4 0

3 years ago

A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card

timama [110]

<h3>The probability of picking a red face card from the deck is $(\frac{3}{26} )$ </h3><h3>The probability of NOT picking a red face card from the deck is $(\frac{23}{26} )$ </h3>

Step-by-step explanation:

The total number of cards in the deck = 52

The total number of red( Diamond + Hearts) face cards in the given deck

= 2 Red Queens + 2 Red jacks + 2 Red kings = 6 cards

Let E : Event of picking a red face card from the deck

Now , P( any event) = $\frac{\textrm{The number of favorable observations}}{\textrm{Total number of observations}}$

So, here P(Picking a red face card) = $\frac{\textrm{The number of red face cards}}{\textrm{Total number of cards}} = (\frac{6}{52} ) = (\frac{3}{26})$

Hence, the probability of picking a red face card from the deck is $(\frac{3}{26} )$

Now, as we know P (any event NOT A) = 1 - P(any event A)

So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)

$= 1 - (\frac{3}{26} ) = \frac{26-3}{26} = (\frac{23}{26})$

Hence, the probability of NOT picking a red face card from the deck is $(\frac{23}{26} )$

8 0

3 years ago

Simplify (6ab3c)(-abc2).<br> a-6a2b4c3<br> b-6ab3c2<br> c-6b2c

Misha Larkins [42]

<span>(6ab</span>³<span>c)(-abc</span>²<span>) = -6a</span>²b⁴c³

6 0

3 years ago