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Q: Find the length of the arc on a circle of radius r equals 16 inches intercepted by a central angle 0 theta equals 60 degrees?

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A central angle is measured by its intercepted arc. Let's denote the length of the intercepted arc with s, and the length of the radius r. So, s = 6 cm and r = 30 cm. When a central angle intercepts an arc whose length measure equals the length measure of the radius of the circle, this central angle has a measure 1 radian. To find the angle in our problem we use the following relationship: measure of an angle in radians = (length of the intercepted arc)/(length of the radius) measure of our angle = s/r = 6/30 = 1/5 radians. Now, we need to convert this measure angle in radians to degrees. Since pi radians = 180 degrees, then 1 radians = 180/pi degrees, so: 1/5 radians = (1/5)(180/pi) degrees = 36/pi degrees, or approximate to 11.5 degrees.

A circle equals 360º.

½ the sum of the intercepted arcs.

The measure of the central angle divided by 360 degrees equals the arc length divided by circumference. So 36 degrees divided by 360 degrees equals 2pi cm/ 2pi*radius. 1/10=1/radius. Radius=10 cm.

The perimeter of a circle measures 360 degrees.

You divide 360 degrees by eight (there are 360 degrees in a circle) so each section would be 45 degrees.

The radial length equals the chord length at a central angle of 60 degrees.

360 degrees in a circle

To work out the length of the arc on a circle, you need to work out the proportion of the full circle that the arc represents. This is the proportion of the circumference of the circle. The circumference of a circle is 2 times pi times radius or 2{pi}r A full circle has 360o so an arc created between 2 radii with an angle of ao between them has a length that is a/360 that of the full circle, ie length of arc = 2{pi}ra/360 Thus, for a circle of radius r=5yds and angle=72o, the length of the arc is: 2x{pi}x5x72/360 = 2x{pi}x5x1/5 = 2x{pi} ~= 6.28yds

32 degrees

I think it's because 360 degrees always equals 100%.

The measure of the angle formed by two secants intersecting outside the circle is one-half the difference of the intercepted arcs. Example: Major intercepted arc is 200o and the minor intercepted arc is 120o. 1/2 (200-120) = 40o ... The measurement of the angle formed by the two secants is 40o. I HOPE THIS CAN HELP YOU :))

Yes, because a circle is 360 degrees right?,so when the perpendicular lines meet they cut the circle in half so 360 degrees divided by 4 equals 90 degrees...

Yes it is. Pie = 3.14 or a half circle is 180 degree's where as a full circle is 360 degrees. I fly small aircraft an we always make incomplete circles, it used everyday in the world with engineers and mathematicians. Each quarter circle is 90 degrees, multiplied by 4 equals 360 degrees which is a whole circle. Hope this helped you. John U.

The measure of the central angle divided by 360 degrees equals the arc length divided by the circumference. So 18 degrees/360 degrees=arc length/(9 feet*2pi). 1/20=arc length/18pi feet; arc length=9pi/10 feet. It's refreshing to answer a question that is written with grammatical accuracy!

3/4 equals 75%. 75% of 180 degrees is 135. .75 x 180 = 135 degrees.

360 divided by 5 equals 72

61 degrees (180 degrees in a triangle)

diameter is length all the way across a circle radius is half of the diameter which is a dot in the center of the circle and it goes to all sides of the circle and it equals the same # throughout the 360 degrees

You can measure angles in degrees. However, The other common measurement for angles is radians. For this measurement, consider the unit circle (a circle of radius 1) whose center is the vertex of the angle in question. Then the angle cuts off an arc of the circle, and the length of that arc is the radian measure of the angle. It is easy to convert between degree measurement and radian measurement. The circumference of the entire circle is 2 ( is about 3.14159), so it follows that 360° equals 2 radians. Hence, 1° equals /180 radians, and 1 radian equals 180/ degrees. Most calculators can be set to use angles measured with either degrees or radians. Be sure you know what mode your calculator is using.

a circle

It is: 360/4 = 90 degrees

y2 - 5y + 2x - x2 - 120 is not a circle. It is a hyperbola rotated through 90 degrees.

well it means that if u square something that's is all i know

98 degrees Celsius equals 208.4 degrees F