Answer and Explain how to do both questions

a) Area of sector TRV =

b)

Step-by-step explanation:

a)

In , TW is diameter.

Therefore,

(Measure of central angle is equal to the measure of its corresponding arc)

Radius (r) = RW = 9 units

Area of sector TRV

Area of sector TRV

b)

Length of

Length of

We can notice from the figure that : Area of the home plate is equal to sum of the Area of the rectangle ( 8 in x 15 in) and Area of the triangle with height 6 in and base 15 in.

Area of the rectangle : Length x Width

⇒  Area of the rectangle = 15 x 8 = 120 in²

Area of the triangle : 1/2 x Base x Height

⇒  Area of the triangle = 1/2 x 15 x 6 = 45 in²

Area of the home plate = Area of rectangle + Area of triangle

⇒ Area of the home plate = 120 in² + 45 in² = 165 in²

Answer : D