Let $\\mu$ be a Radon measure on $\\mathbb{R}^d$. We define and study conical energies $\\mathcal{E}\_{\\mu,p}(x,V,\\alpha)$, which quantify the portion of lying in cone with vertex $x\\in\\mathbb{R}^d$, direction $V\\in G(d,d-n)$, aperture $\\alpha\\in (0,1)$. use these to characterize rectifiability big pieces Lipschitz graphs property. Furthermore, if we assume that has polynomial growth, gi...