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elixir [45]
3 years ago
7

If a circle has a radius of 12 and a sector defined by a 78 degree arc, what is the area, in cm2, of the sector? Round your answ

er to the nearest tenth.
Mathematics
2 answers:
Likurg_2 [28]3 years ago
6 0
A = (78/360)*3.14*12^2
A = (78/360) * 3.14 * 144
A = (78/360) * 452.16
A = 97.968 cm^2 = 98.0 cm^2
FinnZ [79.3K]3 years ago
6 0

Answer:

Required area of the sector of circle is 97.97cm^2

Step-by-step explanation:

We have given angle 78^{\circ}  and radius is 12

We have formula for area of the sector of a circle is \frac{\theta}{360}\cdot \pi\cdot r^2

Here, \theta=78^{\circ}

r=12

On substituting the values we will get

Area=\frac{78^{\circ}}{360}\cdot \pi\cdot {12}^2

Using \pi=3.14

\Rightarrow Area=\frac{78^{\circ}}{360}\cdot3.14\cdot 144

After simplification we will get

\Rightarrow Area=\frac{35268.48}{360}

After further simplification we will get

\Rightarrow Area=97.968=97.97

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