contestada

A circle has a radius of 4.5mm. A sector of the circle has a central angle of 3.5 radians. Find the area of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth.

Respuesta :

Answer:

35.4 mm²

Explanation:

The area of a sector is given by

[tex]A = \frac{1}{2} r^2\theta[/tex]

where r is the radius and θ is the central angle in radian.

Therefore,

[tex]A = \frac{1}{2}\times4.5^2\times3.5 = 35.4375 \text{ mm}^2 = 35.4\text{ mm}^2[/tex]