I'm really having trouble seeing angle-1, arc AB, and arc-AG from here, so
I can't even begin to find an answer to the question.
Here's a tip that has helped me a lot and could be helpful for you:
When you're working on a question that has information along with it ... like a
drawing or a photo ... it always helps to look at the drawing or photo. Very often,
there's no possible way to answer the question if you don't, and that's a big part
of the reason that they print those things, either alongside the question or under it.
Angle A + Angle B + Angle C = 180 degrees. 30+90+C=180 120+C=180 C=60 degrees.
That totals 180.
Providing that it is a regular polygon then each exterior angle will measure 12 degrees
For 30 degrees arc the length = 30/360 x 2R x Pi = 1/12 x 20 x Pi = 5.236 units
the larger angle is 60 and the smaller angle is 30.complimentary angles are 2 angles forming 90 degrees.
30 degrees
60 degrees
30 degrees
Assuming the measure of the arc refers to the angle at the centre of the circle, the answer is 180 - 150 = 30 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.
30
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.
105 degrees
pi x 6 x radius (ab or bc). Circumference is 2pir, 30 degree arc is 1/12 of circumference. In radian measure 30/57.3 ie 0.52 radians.
30
30 degrees
The trigonometric function of an angle gives a certain value The arc trigonometric function of value is simply the angle For example, if sin (30 degrees) = 0.500 then arc sine ( 0.500) = 30 degrees