Question #157960

Area of a sector

Find the area of a sector of a circle having the radius of 6 cm and subtended by the central angle with measure 135°.

A circle has a radius of 10 inches and subtended by a central angle of 7π/6 radian. Find the area of a sector?

Find the area of a sector of a circle with central angle that measure 75° if the radius of a circle is 6m?

Expert's answer

**a. **Area(A) of an arc = "\\pi r^2 (\\frac{{1}}{360}\\theta" )

A= "\\pi \\times 6^2 \\times (\\frac{{135}}{360})"

A= 42.4115 cm"^2"

**b. **"\\theta= \\frac{7}{3}\\pi^r= 210^0"

area = "\\pi \\times 10^2 \\times (\\frac{{210}}{360})"

area= 183.2596 inch"^2"

**c. **area = "\\pi \\times 6^2 \\times (\\frac{{75}}{360})"

area = 23.5619 m"^2"

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