Question

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Answer 1

Answer:

A ≈ 9.0 ft²

Step-by-step explanation:

70° = 7π/18 radians

Area of the arc section

A = ½(7π/18)8² = 12⁴/₉π ft² = 39.09537 ft²

As the triangle is isosceles, the other two angles are (180 - 70) / 2 = 55°

law of sines 8 / sin55 = L / sin 70  L = 9.17722

so the triangle height  = √(8² - (9.17722/2)²) = 6.55321

Area of triangle ½(6.55321)(9.17722) = 30.07016

Area = 39.09537 - 30.07016 = 9.025211 ≈ 9.0 ft²