360 degrees is the complete arc measured around the circle. The remaining arc ACB is 360 degrees minus 74 degrees = 286 degrees since the short arc AB is 74 degrees. Therefore, the ratio of the long to the short arc is 1:0.7445.... The answer can be verified by using a calculator and typing in 286/74.95=3.527..
In any circle, there are 360 degrees. The angle ACB to 360 degree ratio will be 100/360 = 5/18. According to the circumference formula, the length of the arc AB will be 5/18 of the circumference of the circle, which is 2pr. Arc length AB = (5/18) = (5/18) = 10p(18). Where p is the radius of the circle.
Because a circle is 360deg all the way around, dividing an arc's degree measure by 360deg yields the proportion of the circle's circumference that the arc makes up. The length along the arc is obtained by multiplying the length all the way around the circle (the circumference) by that fraction. There are many ways to approach this problem, but this is one of the most straightforward.
The formula for finding the arc length in degrees is as follows:
Arc Length in Degrees = Circumference of Circle / Fraction of Full Circle * 360deg
For example, if the radius of a circle is 10 inches and it is complete in 360 degrees, then the arc length in degrees is:
10in. / 0.3556cm * 360deg = 119.22 degrees
As another example, if the radius of the circle is 12 inches and it is not complete in a full circle (3600 degrees), then the arc length is:
12in. / 0.3556cm * 3600deg = 447.6 degrees
It is helpful to know that 180 degrees is half of a full rotation or pi radians. So, dividing arc length by pi gives you the approximate number of inches or centimeters that the arc extends past the circle's perimeter.
B. Multiply the arc's length by 180. Take the circumference and multiply it by 360. Divide the result by the circumference of the circle. The answer is the fraction of the circle that the arc covers at its highest point.
As a result, the arc EAB measure is 148 degrees, and option C is the proper decision.
In addition, the area of a circle with radius 7 cm is 28π cm2, so the volume of cylinder B is 112π cm3.
Finally, the depth of cylinder B is 3 - 2.5 = 0.5 cm, so its weight is 50 g. This means that the force of gravity acting on it is 50 g × 9.8 m/s2 = 485 gm.
Thus, the pressure inside the cylinder is 485 / 0.5 = 980 Pa.
This answers the question asked by the problem statement!
(arc length) multiplied by circumference equals (central angle) multiplied by 360 degrees. The center angle will be expressed in degrees. When you think about it, this formula makes logic. If you multiply an arc length by the radius of a circle, you get another arc length. That means that if you divide the original arc length by the product, you should get the same fraction no matter what angle the circle is at.
There are several ways to approach this problem. You could calculate each angle separately and then add them together, or you could use one of the Pythagorean theorem tricks to determine the central angle quickly. Either way works fine. Just make sure you know which angle is which when you add them together.
Here's how you would solve this problem using multiple methods:
1 Using Radians: Let's first assume that you know nothing about angles other than they are measured in degrees. So we'll start by converting each angle into radians, which is just the angle divided by 180 degrees.
Arc length is a fraction of the circle's circumference and is computed as follows: determine the circumference of the circle and multiply by the measure of the arc divided by 360. For example, if the radius of the circle is 30 inches and the arc is 120 degrees, then the fractional part of the circumference is 0.5.
Fractional parts are often expressed as decimal numbers with zeros placed before the decimal point, but they can also be expressed as rounded fractions. In this problem, assume that there are no digits after the decimal point and therefore treat it as a rounded fraction.
The fractional part of the circumference of a circle is always between 0 and 1. In this case, the answer is 0.5 because half of the circle is enclosed by the arc.
Another way to look at it is that one quarter of the entire circle is enclosed by the arc.
As you can see, this problem involves calculating fractions. Fractions are used when we need to divide a part of something into two equal parts or when we want to express a portion of a number. For example, 0.25 means two-fifths, 3/8 means three eighths, and 7/20 means seven halves or five quarters.