Respuesta :

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=4\\ \theta =2.4 \end{cases}\implies A=\cfrac{2.4\cdot 4^2}{2}[/tex]
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The area of the sector formed by a central angle measuring 2.4 radians is 19.2 m²

A circle is the locus of a point such that its distance from a fixed point is always constant.

The area (A) of a sector is given by:

A = θ * (1/2)r²

Where θ is the central angle in rad and r is the radius of the circle.

Given that r = 4m, and θ = 2.4 rads, hence:

A = θ * (1/2)r²

A= 2.4 * (1/2) * 4² = 19.2 m²

Hence the area of the sector formed by a central angle measuring 2.4 radians is 19.2 m²

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