in the figure, angle zyx is measured in degrees. the area of the shaded sector can be determined using the…

in the figure, angle zyx is measured in degrees. the area of the shaded sector can be determined using the formula $\frac{mangle zyx}{360^{circ}}(pi r^{2})$. which best explains the formula? the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector. the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector. the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector. the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

in the figure, angle zyx is measured in degrees. the area of the shaded sector can be determined using the formula $\frac{mangle zyx}{360^{circ}}(pi r^{2})$. which best explains the formula? the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector. the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector. the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector. the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer

Brief Explanations:

The area of a sector is a fraction of the area of the whole - circle. The fraction is determined by the ratio of the central - angle of the sector to the total angle measure of a circle ($360^{\circ}$). Multiply this fraction by the area of the circle ($\pi r^{2}$) to get the area of the sector.

Answer:

The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.