Question

question 7 of 10
what is the approximate area of the circle shown below?
circle with center c and radius 7.8 cm (approximated as 7 or 8? wait, the radius is 7.8 cm, but in the options, maybe we approximate 7.8 as 8 or 7? wait, the options are 96, 24.5, 49, 191. lets see: area of circle is πr². if r is 7.8, approximate as 8: π8²=64π≈201, no. wait, maybe the radius is 3.9? wait, no, the diagram shows a radius of 7.8 cm? wait, maybe its a typo, or maybe the diameter? wait, no, the line from center to edge is radius. wait, maybe the 7.8 is a typo, maybe 3.9? wait, no, the options: lets check. if r is 7.8, πr²≈3.1460.84≈191 (option d). but maybe the radius is 3.9 (diameter 7.8)? then r=3.9, area≈3.1415.21≈47.76≈49 (option c). ah, maybe the 7.8 is the diameter, so radius is 3.9≈4. then area≈π4²=16π≈50, close to 49 (option c). so the problem is about finding the area of a circle, with a diagram showing a radius (or diameter) of 7.8 cm, and multiple choice options. so the ocr text is: question 7 of 10
what is the approximate area of the circle shown below?
circle image with center c and radius 7.8 cm
a. 96 cm²
b. 24.5 cm²
c. 49 cm²
d. 191 cm²

Explanation:

Step1: Identify radius

The line from center C is radius: $r = 7.8$ cm, approximate to $r ≈ 8$ cm.

Step2: Calculate area

Use area formula $A = \pi r^2$. Substitute $r ≈ 8$: $A ≈ 3.14×8^2 = 3.14×64 ≈ 200.96$ cm². Closest option is 191 cm².

Answer:

D. 191 cm²