A cake has circumference of 2517inches. What is the area of the cake? Use 227 to approximate π. Round to the nearest hundredth. Enter your answer in the box.

A = 504,401.99 in^2

Step-by-step explanation:

First, we need to find the radius. Since we are given the circumference, let's work backwards and substitute the values we know into the formula for the circumference of a circle.

Substitute:

Divide by 2 on both sides:

/2          /2

Divide by pi on both sides:

/pi            /pi

400.80 ≈ r

Therefore, the radius is approximately 400.8 inches.

Now, we can find the area of the cake.

Substitute into the formula for the area of a circle:

Solve:

Multiply by pi:

A = 504,401.99 in^2

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.