In circle S with m angle R S T=112^{circ} and R S=7, find the area of sector RST. Round to the nearest hundredth.

Question

Accepted Answer

Step:1 ：Find the base angle of triangle RST: (frac{180 - 112}{2} = 34^circ)Step:2 ：Use the Law of Sines to find the radius: (frac{7}{sin{34^circ}} = 6.259)Step:3 ：Calculate the area of sector RST: (frac{112}{360} times pi times 6.259^2 = 38.29)Step:4 ：(boxed{38.29})

Answer

Step: 1 ：Find the base angle of triangle RST: (frac{180 - 112}{2} = 34^circ)Step: 2 ：Use the Law of Sines to find the radius: (frac{7}{sin{34^circ}} = 6.259)Step: 3 ：Calculate the area of sector RST: (frac{112}{360} times pi times 6.259^2 = 38.29)Step: 4 ：(boxed{38.29})

In circle $S$ with $m ∠ R S T = 112^{\circ}$ and $R S = 7$ , find the area of sector RST. Round to the nearest hundredth.

Answer

Popular Problems

In circle S with m∠RST=112∘ and RS=7, find the area of sector RST. Round to the nearest hundredth.

Answer

Popular Problems

In circle $S$ with $m ∠ R S T = 112^{\circ}$ and $R S = 7$ , find the area of sector RST. Round to the nearest hundredth.