Need asap a 72° sector in a circle has an area of 16.4π yd². what is the area of the circle? use 3.14 for pi. enter your answer as a decimal in the box.

Solution :

Give that, a 72° sector in a circle ,

Area of Sector in a circle =

Suppose radius of circle is r .

then Volume of sector of circle

Area of a Circle of radius, r,

Put

Area of Circle, A =

given,

Hence, Area of circle= 257.48

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.