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tino4ka555 [31]
2 years ago
7

How do i find the area of a cone when all i get is radius and theta? radius = 5 theta = 52°

Mathematics
1 answer:
marishachu [46]2 years ago
4 0

Answer:

11.34464...

Step-by-step explanation:

it is not a 3-dimensional cone, it is a 2-dimensional segment of a circle. and you need to find its area.

which is also why you are asked to find the area, because for a 3-dimensional object you would have been asked about the volume of the surface.

now, about a circle and its segments.

you know how to get the area of a circle ?

it is pi×r²

that is for the full circle.

you know how many degrees it is to go "full circle" ?

360 degrees.

so, here we have only a segment of 52 degrees out of the full 360 degrees.

in other words we are dealing with 52/360 = 13/90 of the full circle.

all we have to do is therefore multiply the area of the full circle with that fraction, and we have our result.

pi×r²×13/90 = pi×5²×13/90 = pi×5×13/18 = 11.34464...

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Answer:

B(if the option is 10^7 instead of  107

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What goes where. JdhshshHshxjancixd
valentina_108 [34]

Answer:

\boxed { \frac{7}{5}y } \to \: \boxed {y+ \frac{2}{5}y }

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Step-by-step explanation:

We need to simplify

y +  \frac{2}{5}y

We collect LCM to get;

\frac{5y + 2y}{5}  =  \frac{7y}{5}

Therefore:

\boxed { \frac{7}{5}y } \to \: \boxed {y+ \frac{2}{5}y }

Also we need to simplify:

y -  \frac{2}{5}y

We collect LCM to get;

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\boxed { \frac{3}{5}y } \to \: \boxed {y -  \frac{2}{5}y }

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