Acommunity pool that is shaped like a regular pentagon needs a new cover for the winter months. the radius of the pool is 20.10 ft. the pool is 23.62 ft on each side. to the nearest square foot, the area of the pool that needs to be covered is ft2.

Step-by-step explanation:

Please find the attachment.  

We have been given that a community pool that is shaped like a regular pentagon needs a new cover for the winter months.

To find the area of community pool we will use area of pentagon formula.

, where, a represents the apothem or perpendicular distance from the center of the pentagon and p represents perimeter of pentagon.

Let us find the perimeter of our given pentagon by multiplying each side length by 5.

Now let us find apothem of our pentagon by using Pythagoras theorem.  

Upon substituting our given values in above formula we will get,

Therefore, the area of the pool that needs to be covered is 960.42 square feet.

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step-by-step explanation:

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answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq