Please help me check my work and correct me if I'm wrong.

1.What is the area of the circle in terms of pi if it's 3.7m diameter
A)3.4225pi m^2
B)6.845pi m^2
C)7.4pi m^2
D)13.69pi m^2

2.What is the area of the figure to the nearest tenth. 165 degrees and 6 inch radius
A)8.6in^2
B)51.8in^2
C)103.6in^2
D)16.5in^2

I already know what it could be. I just need to make sure

Please help me check my work and correct me if Im wrong 1What is the area of the circle in terms of pi if its 37m diameter A34225pi m2 B6845pi m2 C74pi m2 D1369 class=
Please help me check my work and correct me if Im wrong 1What is the area of the circle in terms of pi if its 37m diameter A34225pi m2 B6845pi m2 C74pi m2 D1369 class=
Please help me check my work and correct me if Im wrong 1What is the area of the circle in terms of pi if its 37m diameter A34225pi m2 B6845pi m2 C74pi m2 D1369 class=

Respuesta :

I believe you are right with all of them.

Answer:

1). Diameter of the circle is given to be : 3.7 meter

So, The radius will be 1.85 meter

Now, we need to find the area of the circle.

So, Area of the circle = π × radius²

⇒ Area of the circle = π × 1.85²

⇒ Area of the circle = 3.4225π meter²

Hence, The correct option is A). 3.4225π meter²

2). Radius of the circle = 6 inch

Central angle = 165°

And we need to find the area of the sector

[tex]\implies\text{Area of the sector = }\frac{\theta}{360}\times \pi\times radius^2\\\\ \implies \text{Area of the sector = }\frac{165}{360}\times 3.14\times 6^2\\\\\implies \text{Area of the sector = }51.8\:inches^2[/tex]

Therefore, The correct option is B. 51.8 inches²