When you square a number, you multiply it by itself. So, to find the area of the pen, multiply pi times the radius squared. The radius is the measurement from the center of the circle to its edge. The area of a circle can be calculated with the formula A = π x r 2, where r stands for radius. What is the area of the pen? Remember, area is the space inside a 2D shape. What is its circumference? Use 3.14 for pi.Ī tortoise lives in a circular pen. Try this one yourself: A circle has diameter 10 units. You can use letters instead of names: d for diameter and C for circumference. Circumference divided by diameter equals pi. If the diameter is 2 cm, then the circumference is about 6.28 cm, and so on. If the diameter is 1 cm, then the circumference is about 3.14 cm. Pi is a ratio of the circumference of a circle to its diameter. Try a big frisbee: the diameter is 21 cm, so the circumference is about 21 × 3.14 = 65.94 cm. Try a small frisbee: the diameter is 7 cm, so the circumference is about 7 × 3.14 = 21.98 cm. You can always find the circumference of a circle by multiplying the diameter by pi. The actual number has a decimal that never ends. So the circumference of the frisbee is approximately 14 × 3.14 = 43.96 cm. The circumference of a circle is always about 3.14 times the diameter. The diameter always passes through the center point of the circle. The diameter is the distance straight across a circle. What if you don’t have a string? You can calculate the circumference from the diameter. Measure around the frisbee with the string, and then measure the string with a meter stick. One way to find the circumference is to use a string. How can you find the circumference of a frisbee? Circumference is the distance around a circle. What is its circumference? Use 3.14 for pi.Ĭircumference of a Frisbee In ultimate frisbee, the frisbee has to have a circumference of 66 centimeters. Having a good gist of the properties of rectangle and square helps in getting the answer.In ultimate frisbee, the frisbee has to have a circumference of 66 centimeters. Note: Whenever we face such types of problems the key concept is simply to have a diagrammatic representation of the information provided in the question as it helps to understand the basic geometry of the figure. So the rectangle of maximum area inscribed in a circle is a square. ![]() Hence x = y $ = r\sqrt 2 $ thus it forms a square with maximum area. ![]() ![]() Now in triangle BCD apply Pythagoras theorem we have, Hence let the sides of the rectangle be x and y respectively as shown in figure. Since the rectangle has all the four coordinates inscribed on the circumference of the circle. The diagonal of the rectangle will be the diameter of the circle.Īs we know diameter (d) is twice the radius. Let ABCD be the rectangle inscribed in the circle with center O and radius (r).
0 Comments
Leave a Reply. |