Answer:
C ≈ 11.71 cm
Step-by-step explanation:
using the ratio arc AC : circumference C = angle at centre of sector : 360°
=
, that is
=
( cross- multiply )
123 × C = 4 × 360 = 1440 ( divide both sides by 123 )
C = ≈ 11.71 cm ( to the nearest hundredth )
Answer:
Option A
10.5 m²
Step-by-step explanation:
The area of a triangle is half the product of its base by its height.
Where b is the base and h is the height.
In this triangle b = 6.1 m.
The height of this triangle is a line perpendicular to its base that goes to the vertex opposite the base.
We do not know this length. But this line h divides the triangle into two rectangular triangles.
So for these two triangles the angle that is opposite to the height h is: 47 °
Therefore we know that senx is defined as:
Where:
Opposite side = h
hypotenuse = 4.7 m
x = 47
Finally, the area is: