Math  /  Geometry

Question60. Multiple Choice If the perimeter of a sector is 4 times its radius, then the radian measure of the central angle of the sector is (A) 2 . (B) 4 . (C) 2/π2 / \pi. (D) 4/π4 / \pi. (E) impossible to determine without knowing the radius.

Studdy Solution
求解方程以找到中心角的弧度:
r+rθ=4r r + r\theta = 4r
r r 移到等式的一边:
rθ=4rr r\theta = 4r - r
rθ=3r r\theta = 3r
两边除以 r r
θ=3 \theta = 3
中心角的弧度是:
3 \boxed{3}

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