In circle mathrm{R} with m angle Q R S=42^{circ} and Q R=4, find the area of sector QRS. Round to the nearest hundredth.

Question

Accepted Answer

Step:1 ：Convert angle from degrees to radians: (theta = 42 times (frac{pi}{180}) = 0.733)Step:2 ：Find the radius using chord length formula: (4 = 2 times r times sin(frac{theta}{2}) Rightarrow r approx 5.58)Step:3 ：Calculate the area of sector QRS: (A = frac{1}{2} times r^2 times theta approx 11.42)Step:4 ：(boxed{11.42}) is the area of sector QRS

Answer

Step: 1 ：Convert angle from degrees to radians: (theta = 42 times (frac{pi}{180}) = 0.733)Step: 2 ：Find the radius using chord length formula: (4 = 2 times r times sin(frac{theta}{2}) Rightarrow r approx 5.58)Step: 3 ：Calculate the area of sector QRS: (A = frac{1}{2} times r^2 times theta approx 11.42)Step: 4 ：(boxed{11.42}) is the area of sector QRS

In circle $R$ with $m ∠ Q R S = 42^{\circ}$ and $Q R = 4$ , find the area of sector QRS. Round to the nearest hundredth.

Answer

Popular Problems

In circle R with m∠QRS=42∘ and QR=4, find the area of sector QRS. Round to the nearest hundredth.

Answer

Popular Problems

In circle $R$ with $m ∠ Q R S = 42^{\circ}$ and $Q R = 4$ , find the area of sector QRS. Round to the nearest hundredth.