Find the circumference and area of the circle

C = 53.3 inches

A = 226.1 inches²

Step-by-step explanation:

The inscribed square has equal sides. To determine the hypotenuse of the square which is also the diameter of the circle, we would apply the Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Hypotenuse² = 12² + 12² = 144 + 144 = 288

Hypotenuse = √288 = 16.97 inches

Radius = diameter/2 = 16.97/2 = 8.485 inches

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Circumference = 2 × 3.14 × 8.485 = 53.3 inches

Area = πr²

Area = 3.14 × 8.485² = 226.1 inches²

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.