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To estimate the area of the circle, Henry divides a circle of radius rr into nn triangles, as shown, and uses the expression h2(b1+b2+b3+b4+..bn)\frac{h}{2}(b_1+b_2+b_3+b_4+\cdots . . b_n) to estimate the area of the circle. In the expression, variables b1,b2b_1, b_2 upto bnb_n represent the base lengths of each triangle and h{h} represents the height of each triangle.

Henry claims that the more triangles the circle is divided into, the closer the estimated area will be to the actual area.

Which statement about Henry’s claim is accurate?

Select all that apply :

His claim is accurate because as nn gets larger, the value of hh gets closer to the value of rr and the value of (b1+b2+..bn)(b_1+b_2+\cdots . . b_n) approaches 2πr2 \pi r.

His claim is accurate because as nn gets larger, the value of hh gets closer to the value of 2r2 r and the value of (b1+b2+..bn)(b_1+b_2+\cdots . . b_n) approaches πr\pi r.

His claim is inaccurate because as nn gets larger, the value of hh gets closer to the value of rr and the value of (b1+b2+..bn)(b_1+b_2+\cdots . . b_n) deviates from 2πr2 \pi r.

His claim is inaccurate because as nn gets larger, the value of hh gets closer to the value of 2r2 r and the value of (b1+b2+..bn)(b_1+b_2+\cdots . . b_n) deviates from πr\pi r.

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