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MCQ

To estimate the area of the circle, Henry divides a circle of radius $r$ into $n$ triangles, as shown, and uses the expression $\frac{h}{2}(b_1+b_2+b_3+b_4+\cdots . . b_n)$ to estimate the area of the circle. In the expression, variables $b_1, b_2$ upto $b_n$ represent the base lengths of each triangle and ${h}$ 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 $n$ gets larger, the value of $h$ gets closer to the value of $r$ and the value of $(b_1+b_2+\cdots . . b_n)$ approaches $2 \pi r$ .

His claim is accurate because as $n$ gets larger, the value of $h$ gets closer to the value of $2 r$ and the value of $(b_1+b_2+\cdots . . b_n)$ approaches $\pi r$ .

His claim is inaccurate because as $n$ gets larger, the value of $h$ gets closer to the value of $r$ and the value of $(b_1+b_2+\cdots . . b_n)$ deviates from $2 \pi r$ .

His claim is inaccurate because as $n$ gets larger, the value of $h$ gets closer to the value of $2 r$ and the value of $(b_1+b_2+\cdots . . b_n)$ deviates from $\pi r$ .

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