Question

(geometry question!) use the (figure in comments) circle to answer the question.

1. Approximate the area of the circle segment bounded by line DE and arc DE.

2. Calculate the circumfrence of circle Q.

3. Calculate the area of circle Q.

4. Calculate the length of arc DE.

5. Calculate the area of the sector bounded by line DQ.

Answer 1

@hartnn

Answer 2

2. Circumference of circle : \(2\pi r \), r= radius=15
3. Area = \(\pi r^2\)
4. length of arc DE=angle it subtends at center Q = 72 degrees.

Answer 3

1. The area of the circular segment is equal to the area of the circular sector minus the area of the triangular portion.
\(A=\pi r^2 * \frac{\theta}{2\pi}-r^2\frac{sin \theta}{2}\)
\(\ \theta=72 = 72 * \frac{\pi}{180}\) radians.

Answer 4

Area of sector as mentioned above :
\(A=\pi r^2 * \frac{\theta}{2\pi}\)

Answer 5

ok

Answer 6

1. Im a little confused on

Answer 7

@dpaInc Could I have help on #1 and #5

Answer 8

do you know what is meant in #1 by the "segment bounded by DE and arc DE" ???

Answer 9

No Im new to circles and all this

Answer 10

it's that shaded portion i drew....

Answer 11

Oh okay.

Answer 12

Well I did try the problem earlier and got 34.4...not even sure if Im close or not?