He wants to enclose the garden with edging that costs $0.75 per foot. Randy’s circular garden has a radius of 1.5 feet. What are its radius and circumference?Ĭircumference = πd = 22/7 x 18 = 56.57 in = 56.6 in (approx) Find its diameter and circumference to the nearest tenth.ĭiameter = 2r = 2 x 9.4 = 18.8 ft = 19 ft (approx)Ĭircumference = πd = 22/7 x 18.8 = 59.08 = 59 ft (approx)įind the radius and circumference of a CD with a diameter of 4.75 inches. We can take 3.14 as π for 11 th question because the diameter is given in decimal points.Īnd in questions 12 and 13 we need to take π because the radius and diameter are given in whole number form.Ī circular fountain has a radius of 9.4 feet. Use 3.14 or \(\frac\) for π? Explain your choice.ġ1th question as 3.14 and the 12 and 13 questions as π Scale factor = 1:1.Circumference of the circle = 2πr = 2 x 22/7 x 9 = 56.57 inĬircumference of the circle = 2πr = 2 x 22/7 x 7 = 44 cmįind the circumference of each circle. For instance, a scale factor of 1/10 can be rewritten as 1:10.įor example: reduce 2/3 by dividing both numbers by 2, which would be 1/1.5 or 1:1.5. Step Three: Rewrite the Fraction as a Ratioįinally, rewrite the fraction as a ratio by replacing the fraction bar with a colon. Our fraction simplifier can help with this step too, if needed. You can do this by dividing both the numerator and the denominator by the numerator. ![]() If you’re scaling down, then reduce the fraction so that the numerator is 1. ![]() To do this, divide both the numerator and the denominator by the denominator. To find the final scale factor when you’re scaling up, reduce the ratio to a fraction with a denominator 1. If you’re scaling up, then the ratio should be shown with a denominator of 1. If you’re scaling down, then the ratio should be shown with a numerator of 1. The next step is to reduce or simplify the fraction. So, the scale factor is a ratio of the scaled size to the real size. Since the scale factor is a ratio, the first step to finding it is to use the following formula: You can find the scale factor in a few easy steps. ![]() You can use the factor to increase or decrease the dimensions of a geometric shape, drawing, or model to different sizes. For example, if the scale factor is 1:8 and the smaller length is 4, multiply 4 × 8 = 32 to convert it to the larger actual size.Ī scale factor is a ratio of two corresponding measurements or lengths. To convert a scaled measurement up to the actual measurement, simply multiply the smaller measurement by the scale factor. The scale factor is commonly expressed as 1:n or 1/n, where n is the factor.įor example, if the scale factor is 1:8 and the real measurement is 32, divide 32 ÷ 8 = 4 to convert. To scale a measurement down to a smaller measurement, for instance, when making a blueprint, simply divide the real measurement by the scale factor. Making a measurement smaller or larger, known as scale conversion, requires a common scale factor, which you can use to multiply or divide all measurements by.
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