Question

Calcule a área da parte colorida na figura:​

Answer 1

colorida=42,14 cm2

Explicação passo-a-passo:

\begin{gathered}Area \ do \ setor \ circular=\frac{\beta*\pi *r^2}{360} \\\\A_{c}= \frac{90*3,14*14^2}{360}\\\\A_{c}=153,86 \ cm^2\\\\A_{q}=b*h\\A_{q}=14*14=196 \ cm^2\\\\A_{colorida}=A_{q}-A_{c}\\A_{colorida}=196-153,86\\A_{colorida}=42,14 \ cm^2\end{gathered}Area do setor circular=360β∗π∗r2Ac=36090∗3,14∗142Ac=153,86 cm2Aq=b∗hAq=14∗14=196 cm2Acolorida=Aq−AcAcolorida=196−153,86Acolorida=42,14 cm2