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A central angle measuring 120 degrees intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle formed by this central angle?
Wiki User
∙ 13y ago
The area of the sector of the circle formed by the central angle is: 37.7 square units.
Wiki User
∙ 13y ago
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What does a circle divide into three parts?
A circle divides a plane into three parts.
What is the area of a circle if the area of its sector is 49?
The area of the circle is(17,640)/(the number of degrees in the central angle of the sector)
How many degrees is the central angle of an eighth of a circle?
360 ÷ 8 = 45o
What is the central angle of a circle with a diameter of 20 inches and divided into 20 congruent sectors?
1
What is the greatest number of x- and y-intercepts that a circle can have?
A circle represented by an equation x^2 + y^2 = r^2 or a circular object represented by an equation Ax^2 + By^2 = r^2 has 2 y-intercepts and 2 x-intercepts.
A central angle of a circle of radius 8 cm intercepts an arc of 12.5 cm express the central angle in degrees?
89.52 degrees.
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 line on a circle only intercepts once?
tangant of circle intercepts it only on one point. In real the point where tangent meets the circle and intercepts it are same
What is standard unit of measuring an angle?
Degrees of a full circle of 360 degrees.
What is the circle beside the number called when you are measuring temperature?
degrees?
What is the measure of the central angle of a circle with radius 5 m that intercepts a 2 m arc?
It is: 2/10pi times 360 = 23 degrees rounded Or, more simply, it is 2/5 = 0.4 radians.
Is an inscribed angle that intercepts an arc whose measure is greater than 180 degrees always acute?
Not if the curve is not a circle.
What are all the possible numbers of intercepts a circle can have?
A circle can have 0, 1, or 2 x-intercepts and 0,1, or 2 y-intercepts, bringing the total to 0, 1, 2, 3, or 4 intercepts.
What is the sum of the central angles of a circle?
360 degrees
An angle measuring exactly 180 degrees?
180 degrees is exactly half of a circle: thus a straight line.
What is the sum of the central angle measure of a circle?
360 degrees
A central angle of a circle of radius 30 cm intercepts an arc of 6 cm Express the central angle in radians and in degrees?
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.
