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Earlier discussion
2 older comments kept for context.
Oluwaseun Adeyemi
By cosine rule,
102 = 132 + 132 - 2(13)(13)cosθ
100 = 169 + 169 - 2(169)cosθ
100 = 338 - 338cosθ
100 - 338 = -338cosθ
-238 = -338cosθ
\(\cfrac{-238}{-338}\) = cosθ
cosθ = 0.7041
θ = cos-1 0.7041
θ = 45.24° = 45°
α = 90° (Sum of angle at centre = 2 × angle at circumference)
102 = r2 + r2
102 = 2r2
100 = 2r2
= \(\cfrac{100}{2}\) = 50 = r2
r2 = 50
r = \(\sqrt{50}\)
r = 7\(\frac{1}{2}\)
Bola Busayo
Solve for mensuration of the same question please