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In a 130 inch diameter circle what is the length of the arc intercepted by a central angle of 115 degrees?
Wiki User
∙ 7y ago
Length of arc: 115/360 times (130pi) = 130.5 inches rounded
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoConvert the angle to radians. In that case, the length of the arc is simply the angle times the radius. As a reminder, the radius is half the diameter.
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Are central angles equal to the measure of their intercepted arcs?
Yes as for example in the case of a sector of a circle.
How do I measure different parts of a circle?
Circumference of a circle = 2*pi*radius or diameter*pi Area of a circle = pi*radius squared Radius of a circle = diameter/2 Degrees around a circle = 360 degrees
What is the area of a sector if the central angle is 45 degrees?
An eighth of the area of the circle which, since neither its radius, diameter nor circumference are known, is an unknown quantity.
What is the area of a sector with a central angle of 130 degrees and a diameter of 9.9 cm?
Sectors don't have diameter, only radius. However... Assuming the the circle has a diameter of 9.9 then the area of the circle is 4.95 x 4.95 x 3.14 which is 76.93785 cm2. As the sector has a central angle of 130o then its area is 130/360 of the above figure ie 27.28 cm2 to two decimal places.
What is the circumference of a circle when the arc is 30 degrees and minor arc is 8?
The circumference of a circle is 360 degrees. The circumference of a circle is also 2*pi*radius or diameter*pi.
How do you find the degree measure of a central angle in a circle if both the radius and the length of the intercepted arc are known?
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
If an angle that has a measure of 51.4 degrees is inscribed in a circle what is the measure of its intercepted?
102.8 degrees I think but it depends. If the angle is a central angle it is 51.4 degrees but other than that I think it would be 102.8 degrees.
What is a central angle and what is the relationship of the central angle and the intercepted arc?
In a circle, a central angle is formed by two radii. By definition, the measure of the intercepted arc is equal to the central angle.
What is the central angle of a circle with a diameter of 20 inches and divided into 20 congruent sectors?
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What is the relation between the arc length and angle for a sector of a circle?
A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.
What is the measure of the arc of a circle intercepted by a central angle that measures 64 degrees?
64°/360° = 8/45 of the circle = 0.1777 (rounded, repeating)The arc's length is 8/45 of the circle's total circumference.
How many degrees are in a circle with a diameter of 10 units?
A circle has 360 degrees, whatever its diameter.
If the radius of a circle is doubled how is the length of the arc intercepted by a fixed central angle changed?
If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?
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?
The length of an arc on a circle of radius 16, with an arc angle of 60 degrees is about 16.8.The circumference of the circle is 2 pi r, or about 100.5. 60 degrees of a circle is one sixth of the circle, so the arc is one sixth of 100.5, or 16.8.
Are central angles equal to the measure of their intercepted arcs?
Yes as for example in the case of a sector of a circle.
What is the diameter of a circle if the circumference is 71 degrees?
diameter = circumference/pi
How many degrees does a diameter of a circle?
180
