When a circular pizza is cut into six slices using diameters, the total length of the cuts is 18 cm. what is the area of the piz
2 answers:
Answer:
Area of the Pizza is 28.26 cm²
Step-by-step explanation:
Given:
A circular pizza is cut into 6 slices .
Total length of the cuts = 18 cm
To find : Area of the Pizza.
Since, Total length of the cuts = 18 cm
⇒ length of 6 radius = 18 cm
Length of a radius = 18/6 = 3 cm
Area of the Pizza = Area of the Circle = πr²
=
=
= 28.26 cm²
≈ 28.26 cm²
Therefore, Area of the Pizza is 28.26 cm²
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Answer:
Step-by-step explanation:
Let shall be considering the Cosine rule in this situation.
a^2 = b^2+c^2- 2bc.cosA
Where a = ?
b = 21km
c 45km
A = 131
a^2 = 21^2+45^2-2(21*45).cos131
a^2 = 441+2025-1890(-0.6560)
a^2 = 2466+1239.951
a^2 = 3705.951
a= 60.876km
Finding the bearing of the port from the ship.
We shall be considering the Sine rule
Sin A/a = Sin B/b
Where A = ?
a = 45km
B = 131°
b = 60.876km
Sin A/45 = sin131/60.876
SinA×60.876 = 45×sin131
SinA×60.876= 45×0.7547
SinA×60.876 = 33.961
SinA= 33.961/60.876
SinA = 0.5578
A = sin^-1 0.5578
A = 33.9°
The equation is given below as
Recall that
Therefore, equating the two-equation, we will have
cross multiply, we will have
Therefore,
we will get the arc sign of both sides in radians to get
In radians, the final answer will be
Therefore,
The finals answers are OPTION A and OPTION D