The radius of the circle is and the length of the chord is . The angle subtended by the chord CD at the center of the circle is
.
Therefore, the measure of arc CD is
Arctangent (lower left angle) = 12 / 5
arctangent (lower left angle) = 2.4
lower left angle = 67.38 degrees
sine (67.38) = x / 5
x = 0.92254 * 5
x = 4.6127
area = .5 * height * base
area = .5 * 4.6127 * 13
area = 29.983
Answer:
Step-by-step explanation:
Te equation of line is:
y = 3x + 12
Plug x = 0 in the above equation of line, we find:
y = 3*0 + 12
y = 0 + 12
y = 12
y-intercept = (0, 12)
Plug y = 0 in the equation y = 3x + 12
0 = 3x + 12
-3x = 12
x = 12/(-3)
x = - 4
x-intercept = (-4, 0)
Distance between x-intercept and y--intercept
we have been asked to find the sum of the series
As we know that a geometric series has a constant ratio "r" and it is defined as
The first term of the series is
Geometric series sum formula is
Plugin the values we get
On simplification we get
Hence the sum of the given series is