Question

In circle S with mZRST = 78 and RS = 20 units find area of sector RST. Round

to the nearest hundredth.

Answer 1

i believe the answer is 284&38.9383838 mathematical facts 928 a

Answer 2

Since the radius of this circle is 20 units, the area of sector RST bounded by a 78° arc is 272.13 square units.

In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:

Area of sector = π
`r^2` × θ/360

Where:

• r represents the radius of a circle.
• θ represents the central angle.

Note: The measure of an intercepted arc is equal to the central angle of a circle.

By substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = π
`r^2` × θ/360

Area of sector RST = 3.14 ×
`20^2` × 78/360

Area of sector RST = 3.14 × 400 × 39/180

Area of sector RST = 3.14 × 780/9

Area of sector RST = 272.13 square units.