The diagram below shows the diameter of a bicycle wheel.
Diameter is 26 inches
Which of the following is closest to the area of the wheel?
Responses
A 530.66 in²530.66 in²
B 81.64 in²81.64 [if gte msEquation 12]> style='font-size:12.0pt;font-family:"Cambria Math";mso-ascii-font-family: "Cambria Math";mso-fareast-font-family:+mn-ea;mso-bidi-font-family:+mn-cs; mso-fareast-theme-font:minor-fareast;mso-bidi-theme-font:minor-bidi; color:black;mso-color-index:1;mso-font-kerning:12.0pt;language:en-US; font-style:italic;mso-style-textfill-type:solid;mso-style-textfill-fill-themecolor: text1;mso-style-textfill-fill-color:black;mso-style-textfill-fill-alpha: 100.0%'> style='font-size:12.0pt;font-family:"Cambria Math";mso-ascii-font-family: "Cambria Math";mso-fareast-font-family:+mn-ea;mso-bidi-font-family:+mn-cs; mso-fareast-theme-font:minor-fareast;mso-bidi-theme-font:minor-bidi; color:black;mso-color-index:1;mso-font-kerning:12.0pt;language:en-US; font-weight:normal;font-style:italic;mso-style-textfill-type:solid; mso-style-textfill-fill-themecolor:text1;mso-style-textfill-fill-color: black;mso-style-textfill-fill-alpha:100.0%'>𝑖𝑛 style='font-size:12.0pt;font-family:"Cambria Math";mso-ascii-font-family: "Cambria Math";mso-fareast-font-family:+mn-ea;mso-bidi-font-family:+mn-cs; mso-fareast-theme-font:minor-fareast;mso-bidi-theme-font:minor-bidi; color:black;mso-color-index:1;mso-font-kerning:12.0pt;language:en-US; font-weight:normal;font-style:italic;mso-style-textfill-type:solid; mso-style-textfill-fill-themecolor:text1;mso-style-textfill-fill-color: black;mso-style-textfill-fill-alpha:100.0%'>2
C 40.82 in²40.82 in²
D 1,122.64 in²
C. 40.82 in²
The area of a circle is calculated by using the formula A = πr^2. The radius is half of the diameter, so in this case, the radius would be 13 inches. Plugging this into the formula, A = 3.14 * 13^2, gives us an area of approximately 530.66 square inches. Since this is not an option, the closest answer is 40.82 square inches (option C).