A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26cm. What is the area of the circle

Sure, let's solve this step by step:

Step 1: Calculate the perimeter of the rectangle. The formula for the perimeter of a rectangle is 2*(length + width). So, the perimeter of the rectangle is 2*(18cm + 26cm) = 88cm.

Step 2: The perimeter of the circle is the same as the rectangle, which is 88cm. The perimeter of a circle is also known as its circumference, which is calculated by the formula 2πr (where r is the radius of the circle). So, we can set up the equation 2πr = 88cm.

Step 3: Solve the equation for r. Divide both sides of the equation by 2π to get r = 88cm / (2π) = 14cm (approximately).

Step 4: Now that we have the radius, we can find the area of the circle. The formula for the area of a circle is πr^2. So, the area of the circle is π(14cm)^2 = 616 square cm (approximately).

So, the area of the circle is approximately 616 square cm.