The circumference of the circle is found using the formula C = 2 PI r
Circumference = 2 *PI * 15.5 = 31pi
The angle is 90 degrees, which is 1/4 of a complete circle ( 360 degrees).
The arc length would be 1/4 of the circumference:
Arc length = 31pi / 4 = 7.75PI
We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
Upon substituting the given values of angle A, and sides a and b, we get:
Upon solving this equation for B, we get:
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
Angle 3 = 180° - 70°
Angle 3 = 110°
Angle 2 = 180° - (110° + 36°)
Angle 2 = 180° - 146°
Angle 2 = 34°
Angle 4 = 180° - 70°
Angle 4 = 110°
Angle 5 = 180° - (110° + 62°)
Angle 5 = 180° - 172°
Angle 5 = 8°
I hope this helps.
Answer:
23.5
Step-by-step explanation:
First the shaded area is 28 but there is a triangle so we have to solve the area of the triangle. (formula for triangle: B x H x 1/2) 3 times 3=9 divided by 2=4.5
28-4.5=23.5
