Question

What is the area of the shaded segment shown at the right? Round your
answer to the nearest tenth.

Answer 1

...which part is shaded... the triangle or the segmant?

Answer 2

@wolfgirl ...?

Answer 3

Oh, sorry... The segment is shaded.

Answer 4

ah, cool
so an easy way to do this is just geometry: realise that right angle = 90 degrees = 1 quarter of area of circle
so Area of quarter = area of circle / 4
= area of triangle + area of segment... this making sense

so no special formulas needed yet

Answer 5

Area of quarter = area of circle / 4
= pi r^2 / 4
= (pi x 4^2 )/4
= 4pi

4pi = area of triangle + area of segment
4pi = 1/2 x base x ht + area of segment
4pi = 1/2 x 4 x 4 + area of segment
4pi = 1/2 x 16 + area of segment
4pi = 8 + area of segment
so area of segment = (4pi - 8) m^2

im sure you can skip most of the lines above in your workings, i just wanted everything to be clear


does that all make sense tho @wolfgirl ?

Answer 6

Yes, I'm gonna try that for myself and see if it works :) I'll let you know if I need anymore help. Thanks!