Answer:
0.318
Step-by-step explanation:
Answer:
Since 60° is one sixth of the entire circle (360°) it means that the length of arc B is 1/6 th of the circumference.
1/6 * (12 * 2π) = 4π
Answer:
15.2 m
Step-by-step explanation:
You need to draw a figure. Start by drawing a horizontal segment approximately 10 cm long; that is the ground. Label the left end point A and the right endpoint B. On the right endpoint, B, go up a short 1 cm vertically. That is 1.5 m, the height of Zaheer. Label that point C. Now from that point draw a horizontal line that ends up above point A. Label that point D. Now go back to point C. Draw a segment up to the left at a 30 deg angle with CD. End the segment vertically above point D. Label that point E. That is the top of the flagpole. Draw a vertical segment down from point E through point D ending at point A. Segment AE is the flagpole. Go back to point C. Move 3 cm to the left on segment CD, and draw a point there and label it F. That is where Zaheer moved to. Now connect point F to point E. That is a 45-deg elevation to point E, the top of the flagpole.
m<EFD = 45 deg
m<EFC = 135 deg
m<FEC = 15 deg
m<ECD = 30 deg
We now use the law of sines to find EC
(sin 15)/10 = (sin 135)/EC
EC = 27.32
Because of the 30-60-90 triangle, ED = EC/2
ED = 13.66
Now we add the height of Zaheer to find AE.
13.66 + 1.5 = 15.16
Answer: 15.2 m
Answer:
Center (2,4) , radius=3, h=2 v=4 & r=3
Step-by-step explanation:
Ok so in order to find the center of the circle, use the graph (like you can see that the x is 2,if you count down from 5 to the left. the y is 4,because it's below 5 in the y pole).So the center is (2,4)
Now, in order to find the length of the radius, you need to do the following:
Take the center point (2,4) and the point where the circle ends (2,1) . Because radius is a straight, you can substract the y values of the two points : 4-1=3
As you can see in the equation, the h symbolizes the x of the center point and the v symbolizes the y.The r is the radius that we already found(3)
So it's shouldn't be a problem now to find the equation of the circle,simply replace the values with their numbers:
(x-2)^2 + (y-4)^2 = 9