Question

Please help me! 15 points

Answer 1

Answer:

Step-by-step explanation:

4) Since circumference is 24, radius = 3.822

Chord is bisected by the perpendicular AD

Using Pythagorean theorem, $BC=\sqrt{r^2-2.4^2} =2.974$

CB = 2(2.974) = 5.958

5) central angle of DF = 180-(44.6+88.6)

Using formula for arc length = $\frac{x}{260} (2pir)$

we get arc length DF = 3.12

b) Since DF and GE being vertically opposite angles subtend same angle with centre.  Arc DF = arc GE

Hence arc GDE = 24-arc DF = 24-3.12 = 20.88

6) Angle DCB =17.8 hence arc BD subtends 2(17.8) with the centre

Arc length = $\frac{35.6}{360} (24) = 2.373$