Question

1. Janna works at a lab with a huge circular particle accelerator. It has a radius of 4 kilometers. What is the accelerator's diameter?
2. KC wants to know the area of the portion with a lot of cheese. The radius of the pizza is 9 inches and the intercepted arc of the pizza with lot of cheese measures 140°. What will be the area of the shaded sector?

3. From the main entrance of the park, there are two pathways where visitors can walk along going to the circular garden. The pathways are both tangent to the garden whose center is 40m away from the main entrance. If the area of the garden is about 706.5 m2, how long is each pathway?

pakisagot po ty!! ​

Answer 1

Answer:

1. diameter=8 kilometres

2. area=98.96 inches

3. 37m

Step-by-step explanation:

1. diameter= 2*radius

2. area of sector=θ out of 360*π$r^{2}$ where θ is the angle

3. area of garden=π$r^{2}$

        706.5=π$r^{2}$

     $r^{2}$=706.5/π

        = 225(nearest whole)

     r=$\sqrt{225}$=15m

we now use Pythagoras theorem to find length of each pathway

$40^{2} =15^{2} +x^{2}$

1600=225+$x^{2}$

$x^{2}$=1600-225=1375

x=$\sqrt{1375}$=37 m (to nearest whole)