planting various fruits as shown below
use the information above to answer questions: 26 and 27.
26. find the angle subtended by the sector for pineapples.
a. 66° d. 43°
b. 63° e. 33°
c. 53°
27. how many acres of land is used in planting guava?
a. 14 d. 24
b. 16 e. 34
c. 18

Question

Accepted Answer

# Explanation:
## Step1: Find the angle for pineapples
The sum of angles in a circle is $360^{\circ}$.
Let $x$ be the angle for pineapples.
We know $72^{\circ}+108^{\circ}+54^{\circ}+63^{\circ}+x = 360^{\circ}$.
$$
\begin{align*}
297^{\circ}+x&=360^{\circ}\
x&=360^{\circ}- 297^{\circ}\
x&=63^{\circ}
\end{align*}
$$
## Step2: Assume total land is $120$ acres (since $360^{\circ}$ represents total land, and if we assume a common - total for percentage - like problems, we can use the proportion for guava)
The proportion of guava is $\frac{54}{360}$.
If total land $L = 120$ acres (a common assumed total for circle - graph problems when not given, as $360$ is related to $120$ by $360\div3 = 120$), then land for guava $G=\frac{54}{360}\times120$.
$$
\begin{align*}
G&=\frac{54\times120}{360}\
&=\frac{54\times1}{3}\
& = 18
\end{align*}
$$

# Answer:
26. B. $63^{\circ}$
27. C. $18$

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QUESTION IMAGE

Question

Explanation:

Step1: Find the angle for pineapples

Step2: Assume total land is \(120\) acres (since \(360^{\circ}\) represents total land, and if we assume a common - total for percentage - like problems, we can use the proportion for guava)

Answer: