Question

The figure below shows Mia’s semi-circular patio. The shaded region represents the tiled portion of the patio.

The width of the tiled portion is 2.5 feet. What is the area of the tiled portion of the patio, rounded to the nearest whole square foot?

61 square feet

33 square feet

5 square feet

8 square feet

Answer 1

@zepp can you help?

Answer 2

So basically, you need to find the area of the shaded region, correct?

Answer 3

^correct

Answer 4

Excellent, now, ignored all the measures, tell me how would you proceed to find it?

Answer 5

well an area or a half circle would be pi times the diameter, then divided by 2. correct?

Answer 6

*of

Answer 7

This is the perimeter :)

Answer 8

We need the area!

Answer 9

then a reg circle is pi times the radius squared

Answer 10

.... i just have no clue what to do. :/

Answer 11

@zepp u there?

Answer 12

Oops, sorry, went to make an ice cream ._.

Answer 13

lol its ok

Answer 14

Alright! So you need to substract the white area OFF the whole semi-circle, does that make sense?

Answer 15

yeah

Answer 16

Good, so we need two thing: Area of the white surface, and the area of the whole thing, can you find them?

Answer 17

First, can you find the area of the whole thing?