What’s the area of this figure? i need finding the area of the semicircle then the whole thing

219.25 km^2.

Step-by-step explanation:

We can split this into 2 rectangles and 1 semicircle.

The area of the longer rectangle whose longest side is , at the bottom, 21 km and width 6 km =  21 * 6 = 126 km^2.

Area of the smaller rectangle = 6 * 9 = 54 km^2.

The diameter of the semicircle =  6 + 9 - 9 + 4 = 10 km  so its radius is 5 km.

The area of the semicircle = 1/2 pi r^2

= 1/2 * 3.14 * 5^2

= 39.25 km^2.

So the area of the whole figure = 126 + 54 + 39.25

= 219.25 km^2.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq