This depends on the question itself. But I will assume and provide an answer.
If arc CD is made from the central angle intercepting the perimeter of the circle( so if the central angle is CBD, then the arc is from the two endpoints of the angle) that would mean that the arc is 35 degrees. If the two endpoints of the arc are NOT the two points from the angle that lie on the circle, then I cannot provide an answer without a picture.
To sum it up, if the arc begins and ends on the two endpoints of the angle, then it is 35 degrees. Unless it goes the long way around, then it would be 325, but that's unlikely to be the case.
Could u send me a bigger picture so I can help!
Answer:
subscribe to me on you-tube for brainliest custom link since u cant do a you-tube link :/
https://screenshare.host/B7N8NT
Step-by-step explanation:
Answer:
ill split them all into halves, so at least half of everyone can come along
Step-by-step explanation:
The sector (shaded segment + triangle) makes up 1/3 of the circle (which is evident from the fact that the labeled arc measures 120° and a full circle measures 360°). The circle has radius 96 cm, so its total area is π (96 cm)² = 9216π cm². The area of the sector is then 1/3 • 9216π cm² = 3072π cm².
The triangle is isosceles since two of its legs coincide with the radius of the circle, and the angle between these sides measures 120°, same as the arc it subtends. If b is the length of the third side in the triangle, then by the law of cosines
b² = 2 • (96 cm)² - 2 (96 cm)² cos(120°) ⇒ b = 96√3 cm
Call b the base of this triangle.
The vertex angle is 120°, so the other two angles have measure θ such that
120° + 2θ = 180°
since the interior angles of any triangle sum to 180°. Solve for θ :
2θ = 60°
θ = 30°
Draw an altitude for the triangle that connects the vertex to the base. This cuts the triangle into two smaller right triangles. Let h be the height of all these triangles. Using some trig, we find
tan(30°) = h / (b/2) ⇒ h = 48 cm
Then the area of the triangle is
1/2 bh = 1/2 • (96√3 cm) • (48 cm) = 2304√3 cm²
and the area of the shaded segment is the difference between the area of the sector and the area of the triangle:
3072π cm² - 2304√3 cm² ≈ 5660.3 cm²
