I want to insert the arc denoting the angle and label it with the Greek letter theta. The angle is about 27 degrees, 0.4707048 radians. Any ideas?

```
tibble(p=seq(from=0,to=1,by=.00001)) %>%
mutate(top_half = 1/2 + sqrt(p*(1-p)),
bottom_half = 1/2 - sqrt(p*(1-p))) -> mydata
g <- ggplot(mydata,aes(x=p)) +
geom_line(aes(y=top_half)) +
geom_line(aes(y=bottom_half)) +
theme_classic() +
coord_fixed(1) +
geom_hline(yintercept = c(1/2,1/2)) +
geom_segment(aes(x=.75,y=.5,xend = .65, yend = 1/2+sqrt(.65*.35)),
arrow = arrow(length = unit(0.5, "cm"))) +
geom_segment(aes(x=.75,y=.5,xend = .85, yend = 1/2+sqrt(.85*.15)),
arrow = arrow(length = unit(0.5, "cm"))) +
ylab(TeX('$\\sqrt[2]_{p(1-p)}\\pm\\frac{1}{2}$'))
g
```

Sorry, here is the code.

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