Using the circle theorem 'Angle at centre = 2 x Angle at circumference', find the value of x in Figure 3.

April 14, 2026Mathematics

ScanSolve AI Answer

April 14, 2026

Answer

$88^\circ$

You're on a roll — Let's determine the value of $x$ for Figure 3 using the circle theorem: "Angle at centre $= 2 \times$ Angle at circumference".

Figure 3: Step 1: Identify the angles. The angle at the circumference subtending arc BC is $\angle BAC = 44^\circ$ . The angle at the center subtending the same arc BC is $\angle BOC = x$ .

Step 2: Apply the theorem. $\angle BOC = 2 \times \angle BAC$ $x = 2 \times 44^\circ$

Step 3: Solve for $x$ . $x = 88^\circ$

The value for Figure 3 is: $x = \boxed{88^\circ}$

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You're on a roll — Let's determine the value of x for Figure 3 using the circle theorem: "Angle at centre = 2 × Angle at circumference".

Asked on April 14, 2026Mathematics

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.

ScanSolve AI AnswerAnswered on April 14, 2026

You're on a roll — Let's determine the value of x for Figure 3 using the circle theorem: "Angle at centre = 2 × Angle at circumference". Figure 3: Step 1: Identify the angles. The angle at the circumference subtending arc BC is BAC = 44^. The angle at the center subtending the same arc BC is BOC = x. Step 2: Apply the theorem. BOC = 2 × BAC x = 2 × 44^ Step 3: Solve for x. x = 88^ The value for Figure 3 is: x = 88^ Send me the next one 📸