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If the radius of a circle is doubled how is the length of the arc intercepted by a fixed central angle changed?
Wiki User
∙ 14y ago
If the radius of a circle is tripled, how is the length of the arc intercepted by
a fixed central angle changed?
Angel Santos
Wiki User
∙ 14y agoThe length of the arc is doubled too
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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.
The measure of an inscribed angle in a circle is the measure of the intercepted arc?
The lengthÊof an inscribed angle placed in a circle based on on the measurement of a intercepted arc is called a Theorem 70. The formula is a m with a less than symbol with a uppercase C.
Describe the effect on the area of a circle when the radius is doubled?
the radius is from the center of the circle to the edge so that's how you find the radius.
What is an angle in a circle whose vertex is at the center of the circle?
Central Angle
An angle whose vertex is at the center of a circle is a middle angle of that circle True or false?
False. There are infinitely many angles at the centre of the circle.
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.
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
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 measure of a intercepted arc?
Examples to show how to use the property that the measure of a central angle is equal to the measure of its intercepted arc to find the missing measures of arcs and angles in given figures.
What is the formula of a central angle of a circle?
Central angle of a circle is the same as the measure of the intercepted arc. davids1: more importantly the formulae for a central angle is π=pi, R=radius Central Angle= Arc Length x 180 / π x R
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.
What happens to the diameter if the circumference is doubled?
The diameter of a circle is doubled if the circumference is doubled.
If the radius of a circle is doubled what happens to the area of the circle?
the area of the circle is increased by 400%
What happens to the circumference when the diameter of a circle is doubled or triple?
The circumference is doubled or tripled, respectively.
How do you work out the circumference of a circle using radius?
The formula for calculating the circumference of a circle is 2πr, where r is the radius of the circle and π is 3.1415926535890793 - usually shorted to either 3.1416 or 3.14 So that the circumference of a circle with a radius of 10 units is 62.83 units There are pi radians in a half of a circle. Thus, the measure of a central angle which is a straight line is pi radians. We have a formula that show that the length of an intercepted arc is equal to the product of the angle in radians that intercepts that arc, with the length of the radius of the circle. So we can say that the length of a semicircle is (pi)(r). In a full circle are 2pi radians. So the length of intercepted arc from a central angle with measure 2pi is 2(pi)(r).
What is the length of the arc intercepted on a circle of radius 14 cm by the arms of a central angle of 45?
Length of arc = angle (in radians)*radius = (pi/4)*14 = 10.996 cm
When the diameter of a circle doubled what happens to the circumference of the circle?
When the diameter of the circle doubled, its circumference also doubled.However, its area increased to 4 times the original area, while nobody was looking.
