Area And Circumference Quiz! Math Trivia

Explanation
To find the distance around a triangle or a square, you would be looking for the perimeter. The perimeter is the total length of all the sides of a shape. It is used to measure the distance around closed figures like triangles and squares. The area, on the other hand, is the measure of the space inside a shape, not the distance around it. Circumference is specifically used for measuring the distance around a circle. Space is a more general term and does not specifically refer to the distance around a shape.

Explanation
The area of a parallelogram is given by the formula A = base * height. In this case, the area is given as 75 square feet and the height is given as 3 feet. To find the base, we can rearrange the formula and solve for it: base = A / height = 75 / 3 = 25 feet. Therefore, the base of the parallelogram is 25 feet.

Explanation
The perimeter of a square is calculated by multiplying the length of one side by 4. In this case, the length of one side is given as 5 cm. Therefore, the perimeter of the square would be 5 cm x 4 = 20 cm.

Explanation
The area of a triangle is calculated by multiplying the base by the height and dividing the result by 2. In this case, the base measures 8 feet and the height measures 5 feet. Therefore, the area is (8 * 5) / 2 = 40 / 2 = 20 square feet.

Explanation
The circumference of a circle is calculated by multiplying the radius by 2π. In this case, since the radius of the clock is given as 5 inches, multiplying it by 2π will give us the circumference. Therefore, the expression "10 times pi" is correct as it represents the calculation of the circumference of the clock.

Explanation
To find the circumference of a circle, you need to multiply the value of pi by the diameter of the circle. The diameter is the distance across the circle passing through the center. Since the circumference is the total distance around the circle, multiplying pi by the diameter gives you the correct answer.

Explanation
The formula for finding the area of a circle is pi multiplied by the radius squared. This is because the area of a circle is equal to the product of pi (approximately 3.14159) and the square of the radius. The radius is the distance from the center of the circle to any point on its circumference. By squaring the radius and multiplying it by pi, we can calculate the total area enclosed by the circle.

Explanation
To find the area of a triangle, you multiply the base of the triangle by its height and then divide the result by 2. This is because the area of a triangle is equal to half the product of its base and height. Therefore, the correct answer is 1/2 base x height.

Explanation
To find the area of a rectangle, you multiply the length of the rectangle by its width. This is because the area of a rectangle is equal to the product of its length and width.

Explanation
To find the area of a square, you multiply the length of one side by itself. This is because all sides of a square are equal in length. So, by multiplying the length of one side (side) by itself, you get the area of the square.