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The area of the shaded sector TI = 93cm². What is the radius?

a. 7.06 cm
b. 9.03 cm
c. 10.5 cm
d. Not Mentioned

1 Answer

1 vote

Final answer:

To find the radius of the shaded sector, use the formula A = (θ/360°) * π * r², where A is the area of the sector, θ is the central angle, and r is the radius. Solve for r by isolating it in the equation. Without the central angle given, we cannot determine the exact value of the radius.

Step-by-step explanation:

To find the radius of the shaded sector, we can use the formula for the area of a sector: A = (θ/360°) * π * r², where A is the area of the sector, θ is the central angle, and r is the radius. In this case, we are given the area of the sector (93 cm²). Let's assume the central angle is x degrees.

We can set up the equation as follows: (x/360°) * π * r² = 93 cm².

Now we can solve for r by isolating it: r² = (93 cm² * 360°) / (x * π), and taking the square root gives us the radius r = √((93 cm² * 360°) / (x * π)).

Since the central angle is not mentioned, we cannot determine the exact value of the radius. Therefore, the correct answer is d. Not Mentioned.

User Rudiger
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