Answer:
The area of the triangle is 22.7 units²
Step-by-step explanation:
The formula of the area of a triangle using trigonometry is A = (a)(b) sin(C), where a , b are two sides in the triangle and C is the angle between these two sides
In Δ XYZ
∵ XZ = 11 units
∵ YZ = 8 units
∵ m∠Z = 31°
∵ ∠Z is between the two sides XZ and YZ
∴ We can use the formula above to find the area of Δ XYZ
∵ Area Δ XYZ = (XZ)(YZ) sin(Z)
∴ Area Δ XYZ = (11)(8) sin(31)
∴ Area Δ XYZ = 22.6616753 unit²
- Round it to the nearest tenth
∴ Area Δ XYZ = 22.7 units²
The area of the triangle is 22.7 units²
Answer:
72°
Step-by-step explanation:
Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π
The length of arc ABC =
Where θ is the central angle in degrees.
Since the length of arc ABC is 16π,
The angle in a circle = 360°, therefore:
Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°
Therefore the arc measure of arc AB is 72°
