According to the question, (π⋅r2)/2=2πr, where r is the radius<span> of the </span>circle<span>. Since the question asks for the diameter of the </span>circle<span>, </span>solve for r: divide both sides of theequation<span> by πr </span>get r<span>/2=2, or </span>r<span>=4. Therefore, the diameter is </span>2r<span>=8. An inscribed or peripheral angle originates from the </span>circumference<span>.