Chapter 10 Final Review: Arc Length & Sector Area

Find the arc length. Round your answer to the nearest tenth.

• 9.6 ft

• 60.5 ft

• 3465 ft

• 332.6 ft

Find the area of each sector. Leave your answer in terms of pi.

• $38\pi\ in^2$

• $43\pi\ in^2$

• $\frac{49}{4}\pi\ in^2$

• $\frac{343}{2}\pi\ in^2$

If the length of the 45° region of this circle is 8 inches, what is the radius of the circle?

• 10.2in

• 8in

• 20.3in

• 2.5in

Find the area of a sector whose central angle is 36^o if the radius of the circle is 8cm. Round to the nearest tenth.

(a)  

Find the radius of the circle given the arc length of the sector is 14.8cm and the central angle is 90^o. Round to the nearest tenth.

(a)  

Find the radius of the circle given the area of the sector is 15ft². Round to the nearest tenth.

(a)  

An adjustable-angle pop-up lawn sprinkler has been installed in an awkward corner of the neighbor's yard. This sprinkler, assuming full water pressure, can spray everything within four meters. Given that the angle has been set to 70°, how much lawn will this sprinkler head water? (Round to the nearest tenth.)

(a)  

The radius of a circle is 8m. Find the arc length of the circle with a central angle of 20^o. Round your answer to the nearest tenth.

(a)