To find the angle subtended at the center of the circle, you can use the formula for the area of a sector: area = (θ/360) * π * r² where θ is the angle in degrees, r is the radius, and π is pi (approximately 3.14). given that the area is 45 cm² and the radius is 8 cm, you can rearrange the formula to solve for θ: θ = (area / (π * r^2)) * 360 θ = (45 / (3.14 * 8^2)) * 360 now, let's calculate θ.