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PLEASE HELP ME!!!! EXPLAIN YOUR ANSWER FOR THANKS/BRAINLEST!

Circle O has a diameter of 15 cm. Points T and P lie on the circle, and mPT = 180. Find the area of sector TOP. Leave your answer in terms of pi.

PLEASE HELP ME EXPLAIN YOUR ANSWER FOR THANKSBRAINLEST Circle O has a diameter of 15 cm Points T and P lie on the circle and mPT 180 Find the area of sector TOP class=

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SmartChick
Well the area of a sector formula is:
A = (degree/360) × πr²
We know the degree so keep that in mind. The diameter is 15  the radius is half of the diameter so the radius is 7.5. Now we plug these into the equation:
A = (180/360) × π7.5²
A= (1/2) × π56.25
A= 28.125 × π
A = 28.125π

Area of the sector of the circle O is equals to 28.125π square centimeters.

What is sector of a circle?

" A sector of a circle is formed by the two radii of the circle and the arc included  in it."

Formula used

Area of the sector of the circle = ( θ / 360°) × πr²

According to the question,

Diameter of a circle = 15cm

⇒ Radius = diameter / 2

                = 15 /2

                = 7.5 cm

m(arc PT) = 180°

Substitute the value in the formula we get,

Area of the sector = (180 /360) × ( 7.5)² × π

                              = (1 / 2) (56.25) × π

                              = 28.125π square centimeter

Hence, Option(C) is the correct answer.

Learn more about sector of a circle here

https://brainly.com/question/15591260

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