This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Question 15: To calculate the area of the unshaded region, we need to find the area of triangle ABD and subtract the area of the shaded sector BAC. Step 1: Calculate the area of triangle ABD. The sides of the triangle are AB = 14 cm and BD = BC + CD. Given BC = 14 cm and CD = 8 cm, so BD = 14 cm + 8 cm = 22 cm. The angle ABD = 75^. The area of a triangle is given by the formula (1)/(2)ab. Area of ABD = (1)/(2) × AB × BD